252825824988 has 144 divisors (see below), whose sum is σ = 727911362080. Its totient is φ = 75823672320.

The previous prime is 252825824987. The next prime is 252825825019. The reversal of 252825824988 is 889428528252.

252825824988 is a `hidden beast` number, since 2 + 5 + 2 + 8 + 2 + 582 + 49 + 8 + 8 = 666.

252825824988 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252825824983) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1167870 + ... + 1367322.

Almost surely, 2^252825824988 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 252825824988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363955681040).

252825824988 is an abundant number, since it is smaller than the sum of its proper divisors (475085537092).

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

252825824988 is a wasteful number, since it uses less digits than its factorization.

252825824988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199585 (or 199566 counting only the distinct ones).

The product of its digits is 58982400, while the sum is 63.

The spelling of 252825824988 in words is "two hundred fifty-two billion, eight hundred twenty-five million, eight hundred twenty-four thousand, nine hundred eighty-eight".