252365120 has 56 divisors (see below), whose sum is σ = 686799744. Its totient is φ = 86524416.

The previous prime is 252365101. The next prime is 252365143. The reversal of 252365120 is 21563252.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×252365120² = 127376307585228800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 252365120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54092 + ... + 58571.

Almost surely, 2^252365120 is an apocalyptic number.

252365120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252365120 is an abundant number, since it is smaller than the sum of its proper divisors (434434624).

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

252365120 is a wasteful number, since it uses less digits than its factorization.

252365120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112687 (or 112677 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 252365120 is about 15886.0039028070. The cubic root of 252365120 is about 631.9408693276.

The spelling of 252365120 in words is "two hundred fifty-two million, three hundred sixty-five thousand, one hundred twenty".