252075564 has 72 divisors (see below), whose sum is σ = 711656400. Its totient is φ = 77557824.

The previous prime is 252075557. The next prime is 252075587. The reversal of 252075564 is 465570252.

252075564 is a `hidden beast` number, since 2 + 5 + 20 + 75 + 564 = 666.

252075564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2662 + ... + 22610.

Almost surely, 2^252075564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252075564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355828200).

252075564 is an abundant number, since it is smaller than the sum of its proper divisors (459580836).

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

252075564 is a wasteful number, since it uses less digits than its factorization.

252075564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19981 (or 19967 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 252075564 is about 15876.8877302827. The cubic root of 252075564 is about 631.6990869744.

The spelling of 252075564 in words is "two hundred fifty-two million, seventy-five thousand, five hundred sixty-four".