13291748266225 has 81 divisors (see below), whose sum is σ = 19620931848609. Its totient is φ = 8921381726400.

The previous prime is 13291748266217. The next prime is 13291748266231. The reversal of 13291748266225 is 52266284719231.

The square root of 13291748266225 is 3645785.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3425967777969 + 9865780488256 = 1850937^2 + 3140984^2 .

It is not a de Polignac number, because 13291748266225 - 2³ = 13291748266217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13291748266225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2606733726 + ... + 2606738824.

Almost surely, 2^{13291748266225} is an apocalyptic number.

13291748266225 is the 3645785-th square number.

13291748266225 is the 1822893-rd centered octagonal number.

It is an amenable number.

13291748266225 is a deficient number, since it is larger than the sum of its proper divisors (6329183582384).

13291748266225 is an frugal number, since it uses more digits than its factorization.

13291748266225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10256 (or 5128 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 58.

The spelling of 13291748266225 in words is "thirteen trillion, two hundred ninety-one billion, seven hundred forty-eight million, two hundred sixty-six thousand, two hundred twenty-five".