2564246641897 has 2 divisors, whose sum is σ = 2564246641898. Its totient is φ = 2564246641896.

The previous prime is 2564246641717. The next prime is 2564246641919. The reversal of 2564246641897 is 7981466424652.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2161549788841 + 402696853056 = 1470221^2 + 634584^2 .

It is a cyclic number.

It is not a de Polignac number, because 2564246641897 - 2¹¹ = 2564246639849 is a prime.

It is not a weakly prime, because it can be changed into another prime (2564246671897) 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, 1282123320948 + 1282123320949.

It is an arithmetic number, because the mean of its divisors is an integer number (1282123320949).

Almost surely, 2^{2564246641897} is an apocalyptic number.

It is an amenable number.

2564246641897 is a deficient number, since it is larger than the sum of its proper divisors (1).

2564246641897 is an equidigital number, since it uses as much as digits as its factorization.

2564246641897 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 139345920, while the sum is 64.

The spelling of 2564246641897 in words is "two trillion, five hundred sixty-four billion, two hundred forty-six million, six hundred forty-one thousand, eight hundred ninety-seven".