252536000 has 56 divisors (see below), whose sum is σ = 625425216. Its totient is φ = 101011200.

The previous prime is 252535991. The next prime is 252536017. The reversal of 252536000 is 635252.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7784 + ... + 23783.

Almost surely, 2^252536000 is an apocalyptic number.

252536000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252536000 is an abundant number, since it is smaller than the sum of its proper divisors (372889216).

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

252536000 is an equidigital number, since it uses as much as digits as its factorization.

252536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31594 (or 31574 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 252536000 is about 15891.3813118936. The cubic root of 252536000 is about 632.0834691871.

The spelling of 252536000 in words is "two hundred fifty-two million, five hundred thirty-six thousand".