252587560 has 32 divisors (see below), whose sum is σ = 569368800. Its totient is φ = 100848960.

The previous prime is 252587551. The next prime is 252587561. The reversal of 252587560 is 65785252.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (252587561) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 17311 + ... + 28369.

It is an arithmetic number, because the mean of its divisors is an integer number (17792775).

Almost surely, 2^252587560 is an apocalyptic number.

252587560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252587560 is an abundant number, since it is smaller than the sum of its proper divisors (316781240).

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

252587560 is a wasteful number, since it uses less digits than its factorization.

252587560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11641 (or 11637 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 40.

The square root of 252587560 is about 15893.0034921031. The cubic root of 252587560 is about 632.1264835243.

The spelling of 252587560 in words is "two hundred fifty-two million, five hundred eighty-seven thousand, five hundred sixty".