252537504 has 24 divisors (see below), whose sum is σ = 662911200. Its totient is φ = 84179136.

The previous prime is 252537497. The next prime is 252537517. The reversal of 252537504 is 405735252.

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1315204 + ... + 1315395.

It is an arithmetic number, because the mean of its divisors is an integer number (27621300).

Almost surely, 2^252537504 is an apocalyptic number.

252537504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

252537504 is an abundant number, since it is smaller than the sum of its proper divisors (410373696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

252537504 is a wasteful number, since it uses less digits than its factorization.

252537504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2630612 (or 2630604 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 33.

The square root of 252537504 is about 15891.4286330714. The cubic root of 252537504 is about 632.0847239939.

The spelling of 252537504 in words is "two hundred fifty-two million, five hundred thirty-seven thousand, five hundred four".