90177087025 has 81 divisors (see below), whose sum is σ = 123355985571. Its totient is φ = 65382629760.

The previous prime is 90177087023. The next prime is 90177087059. The reversal of 90177087025 is 52078077109.

The square root of 90177087025 is 300295.

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

It can be written as a sum of positive squares in 13 ways, for example, as 37462763809 + 52714323216 = 193553^2 + 229596^2 .

It is not a de Polignac number, because 90177087025 - 2¹ = 90177087023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90177087023) 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, 827312671 + ... + 827312779.

Almost surely, 2^90177087025 is an apocalyptic number.

90177087025 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

90177087025 is the 300295-th square number.

90177087025 is the 150148-th centered octagonal number.

It is an amenable number.

90177087025 is a deficient number, since it is larger than the sum of its proper divisors (33178898546).

90177087025 is a wasteful number, since it uses less digits than its factorization.

90177087025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 46.

The spelling of 90177087025 in words is "ninety billion, one hundred seventy-seven million, eighty-seven thousand, twenty-five".