2564612849 has 2 divisors, whose sum is σ = 2564612850. Its totient is φ = 2564612848.

The previous prime is 2564612839. The next prime is 2564612851. The reversal of 2564612849 is 9482164652.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1950812224 + 613800625 = 44168^2 + 24775^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2564612849 is a prime.

Together with 2564612851, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2564612819) 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 as a sum of consecutive naturals, namely, 1282306424 + 1282306425.

It is an arithmetic number, because the mean of its divisors is an integer number (1282306425).

Almost surely, 2^2564612849 is an apocalyptic number.

It is an amenable number.

2564612849 is a deficient number, since it is larger than the sum of its proper divisors (1).

2564612849 is an equidigital number, since it uses as much as digits as its factorization.

2564612849 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 829440, while the sum is 47.

The square root of 2564612849 is about 50642.0067631606. The cubic root of 2564612849 is about 1368.8019164951.

The spelling of 2564612849 in words is "two billion, five hundred sixty-four million, six hundred twelve thousand, eight hundred forty-nine".