252013262310252 has 36 divisors (see below), whose sum is σ = 638177210981856. Its totient is φ = 83853604927200.

The previous prime is 252013262310241. The next prime is 252013262310263.

It is a happy number.

252013262310252 is a `hidden beast` number, since 2 + 5 + 2 + 0 + 1 + 3 + 2 + 623 + 1 + 0 + 25 + 2 = 666.

252013262310252 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (252013262310241) and next prime (252013262310263).

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6283973124 + ... + 6284013227.

It is an arithmetic number, because the mean of its divisors is an integer number (17727144749496).

Almost surely, 2^{252013262310252} is an apocalyptic number.

It is an amenable number.

252013262310252 is an abundant number, since it is smaller than the sum of its proper divisors (386163948671604).

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

252013262310252 is a wasteful number, since it uses less digits than its factorization.

252013262310252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12567986918 (or 12567986913 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 252013262310252 in words is "two hundred fifty-two trillion, thirteen billion, two hundred sixty-two million, three hundred ten thousand, two hundred fifty-two".