252257120 has 48 divisors (see below), whose sum is σ = 612078768. Its totient is φ = 98173440.

The previous prime is 252257119. The next prime is 252257147. The reversal of 252257120 is 21752252.

It is a self number, because there is not a number n which added to its sum of digits gives 252257120.

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, 15386 + ... + 27225.

It is an arithmetic number, because the mean of its divisors is an integer number (12751641).

Almost surely, 2^252257120 is an apocalyptic number.

252257120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252257120 is an abundant number, since it is smaller than the sum of its proper divisors (359821648).

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

252257120 is a wasteful number, since it uses less digits than its factorization.

252257120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42663 (or 42655 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 26.

The square root of 252257120 is about 15882.6043204507. The cubic root of 252257120 is about 631.8507098106.

The spelling of 252257120 in words is "two hundred fifty-two million, two hundred fifty-seven thousand, one hundred twenty".