253509256 has 64 divisors (see below), whose sum is σ = 638225280. Its totient is φ = 91169280.

The previous prime is 253509233. The next prime is 253509281. The reversal of 253509256 is 652905352.

253509256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7821 + ... + 23836.

It is an arithmetic number, because the mean of its divisors is an integer number (9972270).

Almost surely, 2^253509256 is an apocalyptic number.

253509256 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

253509256 is an abundant number, since it is smaller than the sum of its proper divisors (384716024).

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

253509256 is a wasteful number, since it uses less digits than its factorization.

253509256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31694 (or 31690 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 37.

The square root of 253509256 is about 15921.9739982202. The cubic root of 253509256 is about 632.8944300416.

The spelling of 253509256 in words is "two hundred fifty-three million, five hundred nine thousand, two hundred fifty-six".