252034013952 has 432 divisors, whose sum is σ = 858526014528. Its totient is φ = 69611028480.

The previous prime is 252034013923. The next prime is 252034013981. The reversal of 252034013952 is 259310430252.

252034013952 is a `hidden beast` number, since 2 + 520 + 3 + 40 + 1 + 3 + 95 + 2 = 666.

252034013952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (252034013923) and next prime (252034013981).

It is a super-2 number, since 2×252034013952² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 74719338 + ... + 74722710.

Almost surely, 2^252034013952 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 252034013952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429263007264).

252034013952 is an abundant number, since it is smaller than the sum of its proper divisors (606492000576).

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

252034013952 is a wasteful number, since it uses less digits than its factorization.

252034013952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3556 (or 3539 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 252034013952 in words is "two hundred fifty-two billion, thirty-four million, thirteen thousand, nine hundred fifty-two".