252214101412252 has 96 divisors (see below), whose sum is σ = 506829159631872. Its totient is φ = 107578808902656.

The previous prime is 252214101412243. The next prime is 252214101412309.

252214101412252 is nontrivially palindromic in base 10.

252214101412252 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 2×252214101412252² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8771734708 + ... + 8771763460.

It is an arithmetic number, because the mean of its divisors is an integer number (5279470412832).

Almost surely, 2^{252214101412252} is an apocalyptic number.

It is an amenable number.

252214101412252 is an abundant number, since it is smaller than the sum of its proper divisors (254615058219620).

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

252214101412252 is a wasteful number, since it uses less digits than its factorization.

252214101412252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30947 (or 30945 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 34.

It can be divided in two parts, 25221410 and 1412252, that added together give a palindrome (26633662).

The spelling of 252214101412252 in words is "two hundred fifty-two trillion, two hundred fourteen billion, one hundred one million, four hundred twelve thousand, two hundred fifty-two".