264960001 has 6 divisors (see below), whose sum is σ = 268749506. Its totient is φ = 261223200.

The previous prime is 264959983. The next prime is 264960013. The reversal of 264960001 is 100069462.

264960001 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., 255200625 + 9759376 = 15975^2 + 3124^2 .

It is not a de Polignac number, because 264960001 - 2⁵ = 264959969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (264960401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21240 + ... + 31321.

Almost surely, 2^264960001 is an apocalyptic number.

It is an amenable number.

264960001 is a deficient number, since it is larger than the sum of its proper divisors (3789505).

264960001 is an frugal number, since it uses more digits than its factorization.

264960001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52703 (or 52632 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 264960001 is about 16277.5919902177. The cubic root of 264960001 is about 642.2835102605.

The spelling of 264960001 in words is "two hundred sixty-four million, nine hundred sixty thousand, one".