9882189524025 has 567 divisors, whose sum is σ = 22846632574701. Its totient is φ = 4081341962880.

The previous prime is 9882189524017. The next prime is 9882189524089. The reversal of 9882189524025 is 5204259812889.

The square root of 9882189524025 is 3143595.

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

9882189524025 is a `hidden beast` number, since 9 + 8 + 8 + 2 + 1 + 89 + 524 + 0 + 25 = 666.

9882189524025 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 2547148968441 + 7335040555584 = 1595979^2 + 2708328^2 .

It is not a de Polignac number, because 9882189524025 - 2³ = 9882189524017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 566 ways as a sum of consecutive naturals, for example, 210259351552 + ... + 210259351598.

Almost surely, 2^{9882189524025} is an apocalyptic number.

9882189524025 is the 3143595-th square number.

9882189524025 is the 1571798-th centered octagonal number.

It is an amenable number.

9882189524025 is an abundant number, since it is smaller than the sum of its proper divisors (12964443050676).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9882189524025 is an frugal number, since it uses more digits than its factorization.

9882189524025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 63.

The spelling of 9882189524025 in words is "nine trillion, eight hundred eighty-two billion, one hundred eighty-nine million, five hundred twenty-four thousand, twenty-five".