252506656 has 48 divisors (see below), whose sum is σ = 540207360. Its totient is φ = 115741440.

The previous prime is 252506651. The next prime is 252506747. The reversal of 252506656 is 656605252.

It is a super-2 number, since 2×252506656² = 127519222648604672, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (252506651) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12150 + ... + 25546.

It is an arithmetic number, because the mean of its divisors is an integer number (11254320).

Almost surely, 2^252506656 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 252506656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270103680).

252506656 is an abundant number, since it is smaller than the sum of its proper divisors (287700704).

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

252506656 is a wasteful number, since it uses less digits than its factorization.

252506656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13457 (or 13449 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 37.

The square root of 252506656 is about 15890.4580173134. The cubic root of 252506656 is about 632.0589861091.

The spelling of 252506656 in words is "two hundred fifty-two million, five hundred six thousand, six hundred fifty-six".