252773568 has 112 divisors (see below), whose sum is σ = 782320000. Its totient is φ = 79812864.

The previous prime is 252773537. The next prime is 252773579. The reversal of 252773568 is 865377252.

252773568 is a `hidden beast` number, since 2 + 527 + 73 + 56 + 8 = 666.

252773568 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28983 + ... + 36681.

It is an arithmetic number, because the mean of its divisors is an integer number (6985000).

Almost surely, 2^252773568 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 252773568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391160000).

252773568 is an abundant number, since it is smaller than the sum of its proper divisors (529546432).

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

252773568 is a wasteful number, since it uses less digits than its factorization.

252773568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7739 (or 7723 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 252773568 is about 15898.8542983449. The cubic root of 252773568 is about 632.2816135344.

The spelling of 252773568 in words is "two hundred fifty-two million, seven hundred seventy-three thousand, five hundred sixty-eight".