2564732511 has 32 divisors (see below), whose sum is σ = 4147891200. Its totient is φ = 1553307840.

The previous prime is 2564732473. The next prime is 2564732531. The reversal of 2564732511 is 1152374652.

2564732511 is a `hidden beast` number, since 2 + 5 + 647 + 3 + 2 + 5 + 1 + 1 = 666.

It is not a de Polignac number, because 2564732511 - 2⁶ = 2564732447 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2564732531) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 724995 + ... + 728523.

It is an arithmetic number, because the mean of its divisors is an integer number (129621600).

Almost surely, 2^2564732511 is an apocalyptic number.

2564732511 is a deficient number, since it is larger than the sum of its proper divisors (1583158689).

2564732511 is a wasteful number, since it uses less digits than its factorization.

2564732511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5996 (or 5990 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 2564732511 is about 50643.1881994015. The cubic root of 2564732511 is about 1368.8232050920.

The spelling of 2564732511 in words is "two billion, five hundred sixty-four million, seven hundred thirty-two thousand, five hundred eleven".