253125360 has 60 divisors (see below), whose sum is σ = 850081752. Its totient is φ = 67499904.

The previous prime is 253125343. The next prime is 253125371. The reversal of 253125360 is 63521352.

253125360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 175062 + ... + 176501.

Almost surely, 2^253125360 is an apocalyptic number.

253125360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253125360 is an abundant number, since it is smaller than the sum of its proper divisors (596956392).

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

253125360 is a wasteful number, since it uses less digits than its factorization.

253125360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351582 (or 351573 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 253125360 is about 15909.9138904018. The cubic root of 253125360 is about 632.5747988633.

It can be divided in two parts, 253125 and 360, that multiplied together give a cube (91125000 = 450³).

The spelling of 253125360 in words is "two hundred fifty-three million, one hundred twenty-five thousand, three hundred sixty".