89236625625 has 135 divisors (see below), whose sum is σ = 187697160651. Its totient is φ = 40722192000.

The previous prime is 89236625593. The next prime is 89236625629. The reversal of 89236625625 is 52652663298.

The square root of 89236625625 is 298725.

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

89236625625 is a `hidden beast` number, since 8 + 9 + 2 + 3 + 6 + 6 + 2 + 5 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 87637905369 + 1598720256 = 296037^2 + 39984^2 .

It is not a de Polignac number, because 89236625625 - 2⁵ = 89236625593 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (89236625629) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 156830341 + ... + 156830909.

Almost surely, 2^89236625625 is an apocalyptic number.

89236625625 is the 298725-th square number.

89236625625 is the 149363-rd centered octagonal number.

It is an amenable number.

89236625625 is an abundant number, since it is smaller than the sum of its proper divisors (98460535026).

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

89236625625 is an frugal number, since it uses more digits than its factorization.

89236625625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178 (or 584 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The spelling of 89236625625 in words is "eighty-nine billion, two hundred thirty-six million, six hundred twenty-five thousand, six hundred twenty-five".