253885131 has 32 divisors (see below), whose sum is σ = 383281920. Its totient is φ = 166067712.

The previous prime is 253885097. The next prime is 253885139. The reversal of 253885131 is 131588352.

It is not a de Polignac number, because 253885131 - 2⁷ = 253885003 is a prime.

It is a super-2 number, since 2×253885131² = 128915319485774322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (253885139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 432220 + ... + 432806.

It is an arithmetic number, because the mean of its divisors is an integer number (11977560).

Almost surely, 2^253885131 is an apocalyptic number.

253885131 is a deficient number, since it is larger than the sum of its proper divisors (129396789).

253885131 is a wasteful number, since it uses less digits than its factorization.

253885131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 866 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 253885131 is about 15933.7732819317. The cubic root of 253885131 is about 633.2070704590.

It can be divided in two parts, 253885 and 131, that added together give a square (254016 = 504²).

The spelling of 253885131 in words is "two hundred fifty-three million, eight hundred eighty-five thousand, one hundred thirty-one".