252528560 has 40 divisors (see below), whose sum is σ = 592636176. Its totient is φ = 100064000.

The previous prime is 252528559. The next prime is 252528581. The reversal of 252528560 is 65825252.

252528560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 252528560.

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, 6191 + ... + 23310.

Almost surely, 2^252528560 is an apocalyptic number.

252528560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252528560 is an abundant number, since it is smaller than the sum of its proper divisors (340107616).

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

252528560 is a wasteful number, since it uses less digits than its factorization.

252528560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29621 (or 29615 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

The square root of 252528560 is about 15891.1472210159. The cubic root of 252528560 is about 632.0772618250.

The spelling of 252528560 in words is "two hundred fifty-two million, five hundred twenty-eight thousand, five hundred sixty".