252957178152 has 256 divisors, whose sum is σ = 833908723200. Its totient is φ = 69543567360.

The previous prime is 252957178109. The next prime is 252957178183. The reversal of 252957178152 is 251871759252.

252957178152 is a `hidden beast` number, since 2 + 52 + 9 + 571 + 7 + 8 + 15 + 2 = 666.

252957178152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×252957178152² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4497468 + ... + 4553364.

It is an arithmetic number, because the mean of its divisors is an integer number (3257455950).

Almost surely, 2^252957178152 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 252957178152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416954361600).

252957178152 is an abundant number, since it is smaller than the sum of its proper divisors (580951545048).

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

252957178152 is a wasteful number, since it uses less digits than its factorization.

252957178152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56033 (or 56023 counting only the distinct ones).

The product of its digits is 3528000, while the sum is 54.

The spelling of 252957178152 in words is "two hundred fifty-two billion, nine hundred fifty-seven million, one hundred seventy-eight thousand, one hundred fifty-two".