253556655352 has 64 divisors (see below), whose sum is σ = 638324467200. Its totient is φ = 91189203840.

The previous prime is 253556655293. The next prime is 253556655367.

253556655352 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a self number, because there is not a number n which added to its sum of digits gives 253556655352.

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, 15823452 + ... + 15839467.

It is an arithmetic number, because the mean of its divisors is an integer number (9973819800).

Almost surely, 2^253556655352 is an apocalyptic number.

253556655352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

253556655352 is an abundant number, since it is smaller than the sum of its proper divisors (384767811848).

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

253556655352 is a wasteful number, since it uses less digits than its factorization.

253556655352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31662956 (or 31662952 counting only the distinct ones).

The product of its digits is 20250000, while the sum is 52.

The spelling of 253556655352 in words is "two hundred fifty-three billion, five hundred fifty-six million, six hundred fifty-five thousand, three hundred fifty-two".