264709613470201 has 81 divisors (see below), whose sum is σ = 287738223739239. Its totient is φ = 243508064034816.

The previous prime is 264709613470193. The next prime is 264709613470213. The reversal of 264709613470201 is 102074316907462.

It is a happy number.

The square root of 264709613470201 is 16269899.

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 31921358710201 + 232788254760000 = 5649899^2 + 15257400^2 .

It is not a de Polignac number, because 264709613470201 - 2³ = 264709613470193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (264709613476201) 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, 1029998495865 + ... + 1029998496121.

Almost surely, 2^{264709613470201} is an apocalyptic number.

264709613470201 is the 16269899-th square number.

264709613470201 is the 8134950-th centered octagonal number.

It is an amenable number.

264709613470201 is a deficient number, since it is larger than the sum of its proper divisors (23028610269038).

264709613470201 is an frugal number, since it uses more digits than its factorization.

264709613470201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 52.

The spelling of 264709613470201 in words is "two hundred sixty-four trillion, seven hundred nine billion, six hundred thirteen million, four hundred seventy thousand, two hundred one".