10972225628225 has 24 divisors (see below), whose sum is σ = 14094002847960. Its totient is φ = 8467467008000.

The previous prime is 10972225628183. The next prime is 10972225628249. The reversal of 10972225628225 is 52282652227901.

10972225628225 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 12 ways, for example, as 4558912495921 + 6413313132304 = 2135161^2 + 2532452^2 .

It is not a de Polignac number, because 10972225628225 - 2⁴⁰ = 9872714000449 is a prime.

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60047036 + ... + 60229485.

It is an arithmetic number, because the mean of its divisors is an integer number (587250118665).

Almost surely, 2^{10972225628225} is an apocalyptic number.

It is an amenable number.

10972225628225 is a deficient number, since it is larger than the sum of its proper divisors (3121777219735).

10972225628225 is a wasteful number, since it uses less digits than its factorization.

10972225628225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120276661 (or 120276656 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 53.

The spelling of 10972225628225 in words is "ten trillion, nine hundred seventy-two billion, two hundred twenty-five million, six hundred twenty-eight thousand, two hundred twenty-five".