507 has 6 divisors (see below), whose sum is σ = 732. Its totient is φ = 312.

The previous prime is 503. The next prime is 509. The reversal of 507 is 705.

507 is nontrivially palindromic in base 12.

It is not a de Polignac number, because 507 - 2^{2} = 503 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is the 23-rd Hogben number.

507 is an undulating number in base 12.

It is a plaindrome in base 15.

It is a nialpdrome in base 8, base 11 and base 13.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 492 and 501.

It is not an unprimeable number, because it can be changed into a prime (503) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 33 + ... + 45.

It is an arithmetic number, because the mean of its divisors is an integer number (122).

507 is a deficient number, since it is larger than the sum of its proper divisors (225).

507 is a wasteful number, since it uses less digits than its factorization.

507 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 35, while the sum is 12.

The square root of 507 is about 22.5166604984. The cubic root of 507 is about 7.9738730994.

Multiplying 507 by its sum of digits (12), we get a square (6084 = 78^{2}).

Multiplying 507 by its reverse (705), we get a triangular number (357435 = T_{845}).

The spelling of 507 in words is "five hundred seven", and thus it is an aban number and an oban number.

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