13095966757225 has 81 divisors (see below), whose sum is σ = 18843810213879. Its totient is φ = 9020452874400.

The previous prime is 13095966757169. The next prime is 13095966757297. The reversal of 13095966757225 is 52275766959031.

The square root of 13095966757225 is 3618835.

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

It can be written as a sum of positive squares in only one way, i.e., 4714548032601 + 8381418724624 = 2171301^2 + 2895068^2 .

It is not a de Polignac number, because 13095966757225 - 2²³ = 13095958368617 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3781680844 + ... + 3781684306.

Almost surely, 2^{13095966757225} is an apocalyptic number.

13095966757225 is the 3618835-th square number.

13095966757225 is the 1809418-th centered octagonal number.

It is an amenable number.

13095966757225 is a deficient number, since it is larger than the sum of its proper divisors (5747843456654).

13095966757225 is an frugal number, since it uses more digits than its factorization.

13095966757225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6996 (or 3498 counting only the distinct ones).

The product of its (nonzero) digits is 214326000, while the sum is 67.

The spelling of 13095966757225 in words is "thirteen trillion, ninety-five billion, nine hundred sixty-six million, seven hundred fifty-seven thousand, two hundred twenty-five".