10013965315225 has 9 divisors (see below), whose sum is σ = 12417336610717. Its totient is φ = 8011159594240.

The previous prime is 10013965315187. The next prime is 10013965315247. The reversal of 10013965315225 is 52251356931001.

The square root of 10013965315225 is 3164485.

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

10013965315225 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 4 ways, for example, as 6185353039369 + 3828612275856 = 2487037^2 + 1956684^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10013965315225 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15505977 + ... + 16138873.

Almost surely, 2^{10013965315225} is an apocalyptic number.

10013965315225 is the 3164485-th square number.

10013965315225 is the 1582243-rd centered octagonal number.

It is an amenable number.

10013965315225 is a deficient number, since it is larger than the sum of its proper divisors (2403371295492).

10013965315225 is an frugal number, since it uses more digits than its factorization.

10013965315225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265804 (or 632902 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 43.

The spelling of 10013965315225 in words is "ten trillion, thirteen billion, nine hundred sixty-five million, three hundred fifteen thousand, two hundred twenty-five".