252011053008 has 400 divisors, whose sum is σ = 902022475200. Its totient is φ = 66781532160.

The previous prime is 252011053003. The next prime is 252011053031. The reversal of 252011053008 is 800350110252.

It is a happy number.

252011053008 is a `hidden beast` number, since 2 + 520 + 1 + 105 + 30 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252011053003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3485448 + ... + 3557016.

It is an arithmetic number, because the mean of its divisors is an integer number (2255056188).

Almost surely, 2^252011053008 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 252011053008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451011237600).

252011053008 is an abundant number, since it is smaller than the sum of its proper divisors (650011422192).

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

252011053008 is a wasteful number, since it uses less digits than its factorization.

252011053008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71632 (or 71617 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 252011053008 in words is "two hundred fifty-two billion, eleven million, fifty-three thousand, eight".