13253873625 has 192 divisors, whose sum is σ = 27334195200. Its totient is φ = 6138316800.

The previous prime is 13253873609. The next prime is 13253873629. The reversal of 13253873625 is 52637835231.

13253873625 is a `hidden beast` number, since 13 + 2 + 5 + 3 + 8 + 7 + 3 + 625 = 666.

It is not a de Polignac number, because 13253873625 - 2⁴ = 13253873609 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (13253873629) 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, 12755856 + ... + 12756894.

It is an arithmetic number, because the mean of its divisors is an integer number (142365600).

Almost surely, 2^13253873625 is an apocalyptic number.

13253873625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13253873625 is an abundant number, since it is smaller than the sum of its proper divisors (14080321575).

13253873625 is a wasteful number, since it uses less digits than its factorization.

13253873625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1116 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The spelling of 13253873625 in words is "thirteen billion, two hundred fifty-three million, eight hundred seventy-three thousand, six hundred twenty-five".