2564663013 has 32 divisors (see below), whose sum is σ = 4163604480. Its totient is φ = 1547331120.

The previous prime is 2564663009. The next prime is 2564663021. The reversal of 2564663013 is 3103664652.

2564663013 is a `hidden beast` number, since 2 + 5 + 6 + 4 + 6 + 630 + 13 = 666.

It is not a de Polignac number, because 2564663013 - 2² = 2564663009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2564661013) 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, 46870 + ... + 85592.

It is an arithmetic number, because the mean of its divisors is an integer number (130112640).

Almost surely, 2^2564663013 is an apocalyptic number.

It is an amenable number.

2564663013 is a deficient number, since it is larger than the sum of its proper divisors (1598941467).

2564663013 is a wasteful number, since it uses less digits than its factorization.

2564663013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38966 (or 38960 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 2564663013 is about 50642.5020412696. The cubic root of 2564663013 is about 1368.8108410561.

The spelling of 2564663013 in words is "two billion, five hundred sixty-four million, six hundred sixty-three thousand, thirteen".