2564542013 has 8 divisors (see below), whose sum is σ = 2814436800. Its totient is φ = 2317439680.

The previous prime is 2564541977. The next prime is 2564542033. The reversal of 2564542013 is 3102454652.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2564542013 - 2¹⁴ = 2564525629 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2564542033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 696188 + ... + 699861.

It is an arithmetic number, because the mean of its divisors is an integer number (351804600).

Almost surely, 2^2564542013 is an apocalyptic number.

It is an amenable number.

2564542013 is a deficient number, since it is larger than the sum of its proper divisors (249894787).

2564542013 is a wasteful number, since it uses less digits than its factorization.

2564542013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396227.

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 2564542013 is about 50641.3073784633. The cubic root of 2564542013 is about 1368.7893140282.

Adding to 2564542013 its reverse (3102454652), we get a palindrome (5666996665).

The spelling of 2564542013 in words is "two billion, five hundred sixty-four million, five hundred forty-two thousand, thirteen".