252752803056 has 280 divisors, whose sum is σ = 792715825440. Its totient is φ = 77572505088.

The previous prime is 252752803001. The next prime is 252752803057. The reversal of 252752803056 is 650308257252.

252752803056 is a `hidden beast` number, since 25 + 27 + 528 + 0 + 30 + 56 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252752803057) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 66564550 + ... + 66568346.

It is an arithmetic number, because the mean of its divisors is an integer number (2831127948).

Almost surely, 2^252752803056 is an apocalyptic number.

252752803056 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252752803056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396357912720).

252752803056 is an abundant number, since it is smaller than the sum of its proper divisors (539963022384).

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

252752803056 is a wasteful number, since it uses less digits than its factorization.

252752803056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4275 (or 4254 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 252752803056 in words is "two hundred fifty-two billion, seven hundred fifty-two million, eight hundred three thousand, fifty-six".