52509264201 has 99 divisors (see below), whose sum is σ = 84394037287. Its totient is φ = 32667481440.

The previous prime is 52509264169. The next prime is 52509264239. The reversal of 52509264201 is 10246290525.

The square root of 52509264201 is 229149.

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

52509264201 is a `hidden beast` number, since 5 + 2 + 5 + 0 + 9 + 2 + 642 + 0 + 1 = 666.

52509264201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2530190601 + 49979073600 = 50301^2 + 223560^2 .

It is not a de Polignac number, because 52509264201 - 2⁵ = 52509264169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (52509264251) by changing a digit.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 1280713741 + ... + 1280713781.

Almost surely, 2^52509264201 is an apocalyptic number.

52509264201 is the 229149-th square number.

52509264201 is the 114575-th centered octagonal number.

It is an amenable number.

52509264201 is a deficient number, since it is larger than the sum of its proper divisors (31884773086).

52509264201 is an frugal number, since it uses more digits than its factorization.

52509264201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 67 counting only the distinct ones).

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

Multiplying 52509264201 by its sum of digits (36), we get a square (1890333511236 = 1374894²).

The spelling of 52509264201 in words is "fifty-two billion, five hundred nine million, two hundred sixty-four thousand, two hundred one".