GNU libc says:

     ‘%V’
          The ISO 8601:1988 week number as a decimal number (range ‘01’
          through ‘53’).  ISO weeks start with Monday and end with
          Sunday.  Week ‘01’ of a year is the first week which has the
          majority of its days in that year; this is equivalent to the
          week containing the year’s first Thursday, and it is also
          equivalent to the week containing January 4.  Week ‘01’ of a
          year can contain days from the previous year.  The week before
          week ‘01’ of a year is the last week (‘52’ or ‘53’) of the
          previous year even if it contains days from the new year.

          This format was first standardized by POSIX.2-1992 and by
          ISO C99.


So on 1905-1-1, %V should be 52 instead of 53 as printed by android; is this the only bug ?

A pretty good test to find such a mistake.