253793925 has 192 divisors, whose sum is σ = 614246400. Its totient is φ = 99532800.

The previous prime is 253793909. The next prime is 253793927. The reversal of 253793925 is 529397352.

253793925 is a `hidden beast` number, since 2 + 537 + 93 + 9 + 25 = 666.

It is not a de Polignac number, because 253793925 - 2⁴ = 253793909 is a prime.

It is a super-2 number, since 2×253793925² = 128822712733811250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253793927) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 987397 + ... + 987653.

It is an arithmetic number, because the mean of its divisors is an integer number (3199200).

Almost surely, 2^253793925 is an apocalyptic number.

253793925 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

253793925 is an abundant number, since it is smaller than the sum of its proper divisors (360452475).

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

253793925 is a wasteful number, since it uses less digits than its factorization.

253793925 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 302 counting only the distinct ones).

The product of its digits is 510300, while the sum is 45.

The square root of 253793925 is about 15930.9109909007. The cubic root of 253793925 is about 633.1312366874.

The spelling of 253793925 in words is "two hundred fifty-three million, seven hundred ninety-three thousand, nine hundred twenty-five".