13553626325625 has 135 divisors (see below), whose sum is σ = 24688812631483. Its totient is φ = 7162775040000.

The previous prime is 13553626325623. The next prime is 13553626325653. The reversal of 13553626325625 is 52652362635531.

The square root of 13553626325625 is 3681525.

It is a perfect power (a square), and thus also a powerful number.

13553626325625 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 3 + 6 + 2 + 6 + 3 + 2 + 5 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 2139985711161 + 11413640614464 = 1462869^2 + 3378408^2 .

It is not a de Polignac number, because 13553626325625 - 2¹ = 13553626325623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13553626325623) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 52737845497 + ... + 52737845753.

Almost surely, 2^{13553626325625} is an apocalyptic number.

13553626325625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13553626325625 is the 3681525-th square number.

13553626325625 is the 1840763-rd centered octagonal number.

It is an amenable number.

13553626325625 is a deficient number, since it is larger than the sum of its proper divisors (11135186305858).

13553626325625 is an frugal number, since it uses more digits than its factorization.

13553626325625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 456 counting only the distinct ones).

The product of its digits is 29160000, while the sum is 54.

The spelling of 13553626325625 in words is "thirteen trillion, five hundred fifty-three billion, six hundred twenty-six million, three hundred twenty-five thousand, six hundred twenty-five".