2564424013 has 2 divisors, whose sum is σ = 2564424014. Its totient is φ = 2564424012.

The previous prime is 2564423987. The next prime is 2564424019. The reversal of 2564424013 is 3104244652.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2028871849 + 535552164 = 45043^2 + 23142^2 .

It is a cyclic number.

It is not a de Polignac number, because 2564424013 - 2²¹ = 2562326861 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2564424019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1282212006 + 1282212007.

It is an arithmetic number, because the mean of its divisors is an integer number (1282212007).

Almost surely, 2^2564424013 is an apocalyptic number.

It is an amenable number.

2564424013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2564424013 is an equidigital number, since it uses as much as digits as its factorization.

2564424013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23040, while the sum is 31.

The square root of 2564424013 is about 50640.1423082519. The cubic root of 2564424013 is about 1368.7683200762.

Adding to 2564424013 its reverse (3104244652), we get a palindrome (5668668665).

The spelling of 2564424013 in words is "two billion, five hundred sixty-four million, four hundred twenty-four thousand, thirteen".