2564781633 has 12 divisors (see below), whose sum is σ = 3899668240. Its totient is φ = 1619861976.

The previous prime is 2564781623. The next prime is 2564781643. The reversal of 2564781633 is 3361874652.

2564781633 is a `hidden beast` number, since 2 + 5 + 6 + 4 + 7 + 8 + 1 + 633 = 666.

It is an interprime number because it is at equal distance from previous prime (2564781623) and next prime (2564781643).

It is not a de Polignac number, because 2564781633 - 2⁵ = 2564781601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2564781623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7499191 + ... + 7499532.

Almost surely, 2^2564781633 is an apocalyptic number.

It is an amenable number.

2564781633 is a deficient number, since it is larger than the sum of its proper divisors (1334886607).

2564781633 is a wasteful number, since it uses less digits than its factorization.

2564781633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14998748 (or 14998745 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 2564781633 is about 50643.6731783942. The cubic root of 2564781633 is about 1368.8319440026.

The spelling of 2564781633 in words is "two billion, five hundred sixty-four million, seven hundred eighty-one thousand, six hundred thirty-three".