95264205201 has 81 divisors (see below), whose sum is σ = 155317551753. Its totient is φ = 56223501840.

The previous prime is 95264205191. The next prime is 95264205221. The reversal of 95264205201 is 10250246259.

The square root of 95264205201 is 308649.

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

95264205201 is a `hidden beast` number, since 9 + 5 + 2 + 642 + 0 + 5 + 2 + 0 + 1 = 666.

It is not a de Polignac number, because 95264205201 - 2²⁵ = 95230650769 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (95264205221) 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, 478714500 + ... + 478714698.

Almost surely, 2^95264205201 is an apocalyptic number.

95264205201 is the 308649-th square number.

95264205201 is the 154325-th centered octagonal number.

It is an amenable number.

95264205201 is a deficient number, since it is larger than the sum of its proper divisors (60053346552).

95264205201 is a wasteful number, since it uses less digits than its factorization.

95264205201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Multiplying 95264205201 by its sum of digits (36), we get a square (3429511387236 = 1851894²).

The spelling of 95264205201 in words is "ninety-five billion, two hundred sixty-four million, two hundred five thousand, two hundred one".