2564191813 has 2 divisors, whose sum is σ = 2564191814. Its totient is φ = 2564191812.

The previous prime is 2564191789. The next prime is 2564191829. The reversal of 2564191813 is 3181914652.

2564191813 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1663171524 + 901020289 = 40782^2 + 30017^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2564191813 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2564191843) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1282095906 + 1282095907.

It is an arithmetic number, because the mean of its divisors is an integer number (1282095907).

Almost surely, 2^2564191813 is an apocalyptic number.

It is an amenable number.

2564191813 is a deficient number, since it is larger than the sum of its proper divisors (1).

2564191813 is an equidigital number, since it uses as much as digits as its factorization.

2564191813 is an evil number, because the sum of its binary digits is even.

The product of its digits is 51840, while the sum is 40.

The square root of 2564191813 is about 50637.8496087660. The cubic root of 2564191813 is about 1368.7270063678.

The spelling of 2564191813 in words is "two billion, five hundred sixty-four million, one hundred ninety-one thousand, eight hundred thirteen".