89577497025 has 81 divisors (see below), whose sum is σ = 166831432131. Its totient is φ = 47710017360.

The previous prime is 89577497017. The next prime is 89577497039. The reversal of 89577497025 is 52079477598.

The square root of 89577497025 is 299295.

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

It can be written as a sum of positive squares in only one way, i.e., 32247898929 + 57329598096 = 179577^2 + 239436^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 89577497025 - 2³ = 89577497017 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 121214106 + ... + 121214844.

Almost surely, 2^89577497025 is an apocalyptic number.

89577497025 is the 299295-th square number.

89577497025 is the 149648-th centered octagonal number.

It is an amenable number.

89577497025 is a deficient number, since it is larger than the sum of its proper divisors (77253935106).

89577497025 is an frugal number, since it uses more digits than its factorization.

89577497025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 44452800, while the sum is 63.

The spelling of 89577497025 in words is "eighty-nine billion, five hundred seventy-seven million, four hundred ninety-seven thousand, twenty-five".