252643343346252 has 48 divisors (see below), whose sum is σ = 661486421551200. Its totient is φ = 83380641364800.

The previous prime is 252643343346193. The next prime is 252643343346293.

252643343346252 is a `hidden beast` number, since 2 + 5 + 2 + 6 + 4 + 3 + 3 + 4 + 3 + 3 + 4 + 625 + 2 = 666.

252643343346252 is nontrivially palindromic in base 10.

252643343346252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 11580633727 + ... + 11580655542.

It is an arithmetic number, because the mean of its divisors is an integer number (13780967115650).

Almost surely, 2^{252643343346252} is an apocalyptic number.

It is an amenable number.

252643343346252 is an abundant number, since it is smaller than the sum of its proper divisors (408843078204948).

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

252643343346252 is a wasteful number, since it uses less digits than its factorization.

252643343346252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23161289383 (or 23161289375 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 54.

The spelling of 252643343346252 in words is "two hundred fifty-two trillion, six hundred forty-three billion, three hundred forty-three million, three hundred forty-six thousand, two hundred fifty-two".