201598964088025 has 81 divisors (see below), whose sum is σ = 291734691773079. Its totient is φ = 137794590917760.

The previous prime is 201598964088017. The next prime is 201598964088043. The reversal of 201598964088025 is 520880469895102.

The square root of 201598964088025 is 14198555.

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 65014210533321 + 136584753554704 = 8063139^2 + 11686948^2 .

It is not a de Polignac number, because 201598964088025 - 2³ = 201598964088017 is a prime.

It is a Duffinian 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, 252947256927 + ... + 252947257723.

Almost surely, 2^{201598964088025} is an apocalyptic number.

201598964088025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

201598964088025 is the 14198555-th square number.

201598964088025 is the 7099278-th centered octagonal number.

It is an amenable number.

201598964088025 is a deficient number, since it is larger than the sum of its proper divisors (90135727685054).

201598964088025 is an frugal number, since it uses more digits than its factorization.

201598964088025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2636 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 67.

The spelling of 201598964088025 in words is "two hundred one trillion, five hundred ninety-eight billion, nine hundred sixty-four million, eighty-eight thousand, twenty-five".