253128844 has 24 divisors (see below), whose sum is σ = 470253168. Its totient is φ = 118809600.

The previous prime is 253128829. The next prime is 253128923. The reversal of 253128844 is 448821352.

It is a happy number.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22627 + ... + 31909.

It is an arithmetic number, because the mean of its divisors is an integer number (19593882).

Almost surely, 2^253128844 is an apocalyptic number.

It is an amenable number.

253128844 is a deficient number, since it is larger than the sum of its proper divisors (217124324).

253128844 is a wasteful number, since it uses less digits than its factorization.

253128844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9705 (or 9703 counting only the distinct ones).

The product of its digits is 61440, while the sum is 37.

The square root of 253128844 is about 15910.0233815039. The cubic root of 253128844 is about 632.5777010887.

It can be divided in two parts, 2531 and 28844, that added together give a triangular number (31375 = T₂₅₀).

The spelling of 253128844 in words is "two hundred fifty-three million, one hundred twenty-eight thousand, eight hundred forty-four".