507 = 3 x 13 x 13.
507 is a divisor of 223 - 1.
507 is 13323 in base 4 and 1323 in base 7.
507 is the lesser of two consecutive numbers (507 and 508) each divisible by a square.
The square of 507 contains exactly six different digits: 5072 = 257049.
507 is the number of rooted ternary trees with 10 vertices.
Source: What's Special About This Number?
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