10972424376225 has 81 divisors (see below), whose sum is σ = 21282129253593. Its totient is φ = 5401490927040.

The previous prime is 10972424376191. The next prime is 10972424376229. The reversal of 10972424376225 is 52267342427901.

The square root of 10972424376225 is 3312465.

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

10972424376225 is a `hidden beast` number, since 1 + 0 + 9 + 7 + 2 + 4 + 2 + 4 + 3 + 7 + 622 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2828158614369 + 8144265761856 = 1681713^2 + 2853816^2 .

It is not a de Polignac number, because 10972424376225 - 2¹³ = 10972424368033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10972424376229) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 645922182 + ... + 645939168.

Almost surely, 2^{10972424376225} is an apocalyptic number.

10972424376225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10972424376225 is the 3312465-th square number.

10972424376225 is the 1656233-rd centered octagonal number.

It is an amenable number.

10972424376225 is a deficient number, since it is larger than the sum of its proper divisors (10309704877368).

10972424376225 is an frugal number, since it uses more digits than its factorization.

10972424376225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34016 (or 17008 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 10972424376225 in words is "ten trillion, nine hundred seventy-two billion, four hundred twenty-four million, three hundred seventy-six thousand, two hundred twenty-five".