252607572 has 120 divisors (see below), whose sum is σ = 761513984. Its totient is φ = 71523648.

The previous prime is 252607571. The next prime is 252607577. The reversal of 252607572 is 275706252.

252607572 is a `hidden beast` number, since 25 + 2 + 60 + 7 + 572 = 666.

252607572 is digitally balanced in base 3, 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252607571) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 287598 + ... + 288474.

Almost surely, 2^252607572 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 252607572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380756992).

252607572 is an abundant number, since it is smaller than the sum of its proper divisors (508906412).

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

252607572 is a wasteful number, since it uses less digits than its factorization.

252607572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 252607572 is about 15893.6330648471. The cubic root of 252607572 is about 632.1431771164.

The spelling of 252607572 in words is "two hundred fifty-two million, six hundred seven thousand, five hundred seventy-two".