gdalinfo

## full size image
$ gdalinfo bmpyramid_tmp/mosaic.tif
Driver: GTiff/GeoTIFF
Files: bmpyramid_tmp/mosaic.tif
Size is 16000, 15000
Coordinate System is:
PROJCS["RGF93 / Lambert-93",
    GEOGCS["RGF93",
        DATUM["Reseau_Geodesique_Francais_1993",
            SPHEROID["GRS 1980",6378137,298.2572221010002,
                AUTHORITY["EPSG","7019"]],
            TOWGS84[0,0,0,0,0,0,0],
            AUTHORITY["EPSG","6171"]],
        PRIMEM["Greenwich",0],
        UNIT["degree",0.0174532925199433],
        AUTHORITY["EPSG","4171"]],
    PROJECTION["Lambert_Conformal_Conic_2SP"],
    PARAMETER["standard_parallel_1",49],
    PARAMETER["standard_parallel_2",44],
    PARAMETER["latitude_of_origin",46.5],
    PARAMETER["central_meridian",3],
    PARAMETER["false_easting",700000],
    PARAMETER["false_northing",6600000],
    UNIT["metre",1,
        AUTHORITY["EPSG","9001"]],
    AUTHORITY["EPSG","2154"]]
Origin = (74962.500000000000000,7125037.500000000000000)
Pixel Size = (75.000000000000000,-75.000000000000000)
Metadata:
  AREA_OR_POINT=Area
Image Structure Metadata:
  COMPRESSION=DEFLATE
  INTERLEAVE=BAND
Corner Coordinates:
Upper Left  (   74962.500, 7125037.500) (  5d53'10.44"W, 50d54'16.60"N)
Lower Left  (   74962.500, 6000037.500) (  4d23'37.78"W, 40d50'24.67"N)
Upper Right ( 1274962.500, 7125037.500) ( 11d10'46.60"E, 50d57'11.01"N)
Lower Right ( 1274962.500, 6000037.500) (  9d48'16.29"E, 40d52'49.87"N)
Center      (  674962.500, 6562537.500) (  2d40'31.91"E, 46d 9'43.91"N)
Band 1 Block=256x256 Type=Int16, ColorInterp=Gray
  NoData Value=-9999


## first image from level 1
$ gdalinfo bmpyramid/1/mosaic_1_1.tif
Driver: GTiff/GeoTIFF
Files: bmpyramid/1/mosaic_1_1.tif
Size is 2048, 2048
Coordinate System is:
PROJCS["RGF93 / Lambert-93",
    GEOGCS["RGF93",
        DATUM["Reseau_Geodesique_Francais_1993",
            SPHEROID["GRS 1980",6378137,298.2572221010002,
                AUTHORITY["EPSG","7019"]],
            TOWGS84[0,0,0,0,0,0,0],
            AUTHORITY["EPSG","6171"]],
        PRIMEM["Greenwich",0],
        UNIT["degree",0.0174532925199433],
        AUTHORITY["EPSG","4171"]],
    PROJECTION["Lambert_Conformal_Conic_2SP"],
    PARAMETER["standard_parallel_1",49],
    PARAMETER["standard_parallel_2",44],
    PARAMETER["latitude_of_origin",46.5],
    PARAMETER["central_meridian",3],
    PARAMETER["false_easting",700000],
    PARAMETER["false_northing",6600000],
    UNIT["metre",1,
        AUTHORITY["EPSG","9001"]],
    AUTHORITY["EPSG","2154"]]
Origin = (74962.500000000000000,7125037.500000000000000)
Pixel Size = (150.000000000000000,-150.000000000000000)
Metadata:
  AREA_OR_POINT=Area
Image Structure Metadata:
  COMPRESSION=DEFLATE
  INTERLEAVE=BAND
Corner Coordinates:
Upper Left  (   74962.500, 7125037.500) (  5d53'10.44"W, 50d54'16.60"N)
Lower Left  (   74962.500, 6817837.500) (  5d25'20.10"W, 48d 9'38.20"N)
Upper Right (  382162.500, 7125037.500) (  1d31'58.52"W, 51d 8'18.73"N)
Lower Right (  382162.500, 6817837.500) (  1d17'41.53"W, 48d22'58.89"N)
Center      (  228562.500, 6971437.500) (  3d32' 2.69"W, 49d39'59.00"N)
Band 1 Block=256x256 Type=Int16, ColorInterp=Gray


## second image from level 1
$ gdalinfo bmpyramid/1/mosaic_1_2.tif
Driver: GTiff/GeoTIFF
Files: bmpyramid/1/mosaic_1_2.tif
Size is 2048, 2048
Coordinate System is:
PROJCS["RGF93 / Lambert-93",
    GEOGCS["RGF93",
        DATUM["Reseau_Geodesique_Francais_1993",
            SPHEROID["GRS 1980",6378137,298.2572221010002,
                AUTHORITY["EPSG","7019"]],
            TOWGS84[0,0,0,0,0,0,0],
            AUTHORITY["EPSG","6171"]],
        PRIMEM["Greenwich",0],
        UNIT["degree",0.0174532925199433],
        AUTHORITY["EPSG","4171"]],
    PROJECTION["Lambert_Conformal_Conic_2SP"],
    PARAMETER["standard_parallel_1",49],
    PARAMETER["standard_parallel_2",44],
    PARAMETER["latitude_of_origin",46.5],
    PARAMETER["central_meridian",3],
    PARAMETER["false_easting",700000],
    PARAMETER["false_northing",6600000],
    UNIT["metre",1,
        AUTHORITY["EPSG","9001"]],
    AUTHORITY["EPSG","2154"]]
Origin = (382162.500000000000000,7125037.500000000000000)
Pixel Size = (150.000000000000000,-150.000000000000000)
Metadata:
  AREA_OR_POINT=Area
Image Structure Metadata:
  COMPRESSION=DEFLATE
  INTERLEAVE=BAND
Corner Coordinates:
Upper Left  (  382162.500, 7125037.500) (  1d31'58.52"W, 51d 8'18.73"N)
Lower Left  (  382162.500, 6817837.500) (  1d17'41.53"W, 48d22'58.89"N)
Upper Right (  689362.500, 7125037.500) (  2d50'53.25"E, 51d13'12.97"N)
Lower Right (  689362.500, 6817837.500) (  2d51'22.02"E, 48d27'38.59"N)
Center      (  535762.500, 6971437.500) (  0d43' 8.79"E, 49d49'13.55"N)
Band 1 Block=256x256 Type=Int16, ColorInterp=Gray