252213282312252 has 48 divisors (see below), whose sum is σ = 598148871355392. Its totient is φ = 82692366540480.

The previous prime is 252213282312239. The next prime is 252213282312269.

252213282312252 is nontrivially palindromic in base 10.

252213282312252 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×252213282312252² (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 15 ways as a sum of consecutive naturals, for example, 127604593 + ... + 129566039.

It is an arithmetic number, because the mean of its divisors is an integer number (12461434819904).

Almost surely, 2^{252213282312252} is an apocalyptic number.

It is an amenable number.

252213282312252 is an abundant number, since it is smaller than the sum of its proper divisors (345935589043140).

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

252213282312252 is a wasteful number, since it uses less digits than its factorization.

252213282312252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2137178 (or 2137176 counting only the distinct ones).

The product of its digits is 460800, while the sum is 42.

The spelling of 252213282312252 in words is "two hundred fifty-two trillion, two hundred thirteen billion, two hundred eighty-two million, three hundred twelve thousand, two hundred fifty-two".