13170911180625 has 405 divisors, whose sum is σ = 26957960980951. Its totient is φ = 6189920880000.

The previous prime is 13170911180579. The next prime is 13170911180659. The reversal of 13170911180625 is 52608111907131.

The square root of 13170911180625 is 3629175.

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

13170911180625 is a `hidden beast` number, since 1 + 3 + 1 + 7 + 0 + 9 + 1 + 1 + 18 + 0 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 7308333712449 + 5862577468176 = 2703393^2 + 2421276^2 .

It is not a de Polignac number, because 13170911180625 - 2⁹ = 13170911180113 is a prime.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 158685676834 + ... + 158685676916.

Almost surely, 2^{13170911180625} is an apocalyptic number.

13170911180625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13170911180625 is the 3629175-th square number.

13170911180625 is the 1814588-th centered octagonal number.

It is an amenable number.

13170911180625 is an abundant number, since it is smaller than the sum of its proper divisors (13787049800326).

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

13170911180625 is an frugal number, since it uses more digits than its factorization.

13170911180625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 45.

The spelling of 13170911180625 in words is "thirteen trillion, one hundred seventy billion, nine hundred eleven million, one hundred eighty thousand, six hundred twenty-five".