13097658025 has 27 divisors (see below), whose sum is σ = 16628147319. Its totient is φ = 10234129680.

The previous prime is 13097658017. The next prime is 13097658073. The reversal of 13097658025 is 52085679031.

The square root of 13097658025 is 114445.

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

13097658025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 4715156889 + 8382501136 = 68667^2 + 91556^2 .

It is not a de Polignac number, because 13097658025 - 2³ = 13097658017 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 26894332 + ... + 26894818.

Almost surely, 2^13097658025 is an apocalyptic number.

13097658025 is the 114445-th square number.

13097658025 is the 57223-rd centered octagonal number.

It is an amenable number.

13097658025 is a deficient number, since it is larger than the sum of its proper divisors (3530489294).

13097658025 is an frugal number, since it uses more digits than its factorization.

13097658025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 46.

The spelling of 13097658025 in words is "thirteen billion, ninety-seven million, six hundred fifty-eight thousand, twenty-five".