252638051328 has 660 divisors, whose sum is σ = 832198597560. Its totient is φ = 76289900544.

The previous prime is 252638051291. The next prime is 252638051353. The reversal of 252638051328 is 823150836252.

252638051328 is a `hidden beast` number, since 2 + 5 + 2 + 638 + 0 + 5 + 1 + 3 + 2 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 939174778 + ... + 939175046.

It is an arithmetic number, because the mean of its divisors is an integer number (1260906966).

Almost surely, 2^252638051328 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 252638051328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416099298780).

252638051328 is an abundant number, since it is smaller than the sum of its proper divisors (579560546232).

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

252638051328 is a wasteful number, since it uses less digits than its factorization.

252638051328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 252638051328 in words is "two hundred fifty-two billion, six hundred thirty-eight million, fifty-one thousand, three hundred twenty-eight".