13252658617125 has 48 divisors (see below), whose sum is σ = 24535805090160. Its totient is φ = 6877055260800.

The previous prime is 13252658617123. The next prime is 13252658617129. The reversal of 13252658617125 is 52171685625231.

13252658617125 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 2 + 6 + 5 + 8 + 617 + 12 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 446574100644 + 12806084516481 = 668262^2 + 3578559^2 .

It is not a de Polignac number, because 13252658617125 - 2¹ = 13252658617123 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13252658617123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159149470 + ... + 159232719.

It is an arithmetic number, because the mean of its divisors is an integer number (511162606045).

Almost surely, 2^{13252658617125} is an apocalyptic number.

13252658617125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13252658617125 is a deficient number, since it is larger than the sum of its proper divisors (11283146473035).

13252658617125 is a wasteful number, since it uses less digits than its factorization.

13252658617125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318382247 (or 318382234 counting only the distinct ones).

The product of its digits is 6048000, while the sum is 54.

The spelling of 13252658617125 in words is "thirteen trillion, two hundred fifty-two billion, six hundred fifty-eight million, six hundred seventeen thousand, one hundred twenty-five".