252761256 has 192 divisors, whose sum is σ = 813960000. Its totient is φ = 72420480.

The previous prime is 252761231. The next prime is 252761261. The reversal of 252761256 is 652167252.

252761256 is a `hidden beast` number, since 2 + 527 + 6 + 125 + 6 = 666.

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

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 252761256.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 496330 + ... + 496838.

It is an arithmetic number, because the mean of its divisors is an integer number (4239375).

Almost surely, 2^252761256 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 252761256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406980000).

252761256 is an abundant number, since it is smaller than the sum of its proper divisors (561198744).

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

252761256 is a wasteful number, since it uses less digits than its factorization.

252761256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 544 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 252761256 is about 15898.4670959184. The cubic root of 252761256 is about 632.2713477227.

The spelling of 252761256 in words is "two hundred fifty-two million, seven hundred sixty-one thousand, two hundred fifty-six".