8882120025 has 81 divisors (see below), whose sum is σ = 16332493437. Its totient is φ = 4614235200.

The previous prime is 8882120003. The next prime is 8882120069. The reversal of 8882120025 is 5200212888.

It is a happy number.

The square root of 8882120025 is 94245.

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 4091265369 + 4790854656 = 63963^2 + 69216^2 .

It is not a de Polignac number, because 8882120025 - 2²⁷ = 8747902297 is a prime.

It is a super-2 number, since 2×8882120025² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

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, 86234124 + ... + 86234226.

Almost surely, 2^8882120025 is an apocalyptic number.

8882120025 is the 94245-th square number.

8882120025 is the 47123-rd centered octagonal number.

It is an amenable number.

8882120025 is a deficient number, since it is larger than the sum of its proper divisors (7450373412).

8882120025 is a wasteful number, since it uses less digits than its factorization.

8882120025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The cubic root of 8882120025 is about 2070.9623929307.

Multiplying 8882120025 by its sum of digits (36), we get a square (319756320900 = 565470²).

The spelling of 8882120025 in words is "eight billion, eight hundred eighty-two million, one hundred twenty thousand, twenty-five".