9201605625 has 45 divisors (see below), whose sum is σ = 16621689513. Its totient is φ = 4903686000.

The previous prime is 9201605587. The next prime is 9201605669. The reversal of 9201605625 is 5265061029.

The square root of 9201605625 is 95925.

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

9201605625 is a `hidden beast` number, since 9 + 20 + 1 + 6 + 0 + 5 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 721405881 + 8480199744 = 26859^2 + 92088^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 9201605625 - 2²¹ = 9199508473 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 9201605625.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 7193736 + ... + 7195014.

Almost surely, 2^9201605625 is an apocalyptic number.

9201605625 is the 95925-th square number.

9201605625 is the 47963-rd centered octagonal number.

It is an amenable number.

9201605625 is a deficient number, since it is larger than the sum of its proper divisors (7420083888).

9201605625 is an frugal number, since it uses more digits than its factorization.

9201605625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2584 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The cubic root of 9201605625 is about 2095.5009975525.

Multiplying 9201605625 by its sum of digits (36), we get a square (331257802500 = 575550²).

Multiplying 9201605625 by its product of nonzero digits (32400), we get a square (298132022250000 = 17266500²).

The spelling of 9201605625 in words is "nine billion, two hundred one million, six hundred five thousand, six hundred twenty-five".