252542444245252 has 48 divisors (see below), whose sum is σ = 527674892209920. Its totient is φ = 103465665072000.

The previous prime is 252542444245237. The next prime is 252542444245279.

252542444245252 is nontrivially palindromic in base 10.

252542444245252 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 2×252542444245252² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 252542444245252.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1539585624 + ... + 1539749647.

It is an arithmetic number, because the mean of its divisors is an integer number (10993226921040).

Almost surely, 2^{252542444245252} is an apocalyptic number.

It is an amenable number.

252542444245252 is an abundant number, since it is smaller than the sum of its proper divisors (275132447964668).

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

252542444245252 is a wasteful number, since it uses less digits than its factorization.

252542444245252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3079335412 (or 3079335410 counting only the distinct ones).

The product of its digits is 40960000, while the sum is 52.

The spelling of 252542444245252 in words is "two hundred fifty-two trillion, five hundred forty-two billion, four hundred forty-four million, two hundred forty-five thousand, two hundred fifty-two".