252825806464 has 384 divisors, whose sum is σ = 670509550080. Its totient is φ = 93721098240.

The previous prime is 252825806449. The next prime is 252825806489. The reversal of 252825806464 is 464608528252.

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, 449068647 + ... + 449069209.

It is an arithmetic number, because the mean of its divisors is an integer number (1746118620).

Almost surely, 2^252825806464 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 252825806464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335254775040).

252825806464 is an abundant number, since it is smaller than the sum of its proper divisors (417683743616).

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

252825806464 is a wasteful number, since it uses less digits than its factorization.

252825806464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 52.

The spelling of 252825806464 in words is "two hundred fifty-two billion, eight hundred twenty-five million, eight hundred six thousand, four hundred sixty-four".