2564246633593 has 2 divisors, whose sum is σ = 2564246633594. Its totient is φ = 2564246633592.

The previous prime is 2564246633581. The next prime is 2564246633617. The reversal of 2564246633593 is 3953366424652.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2491447578624 + 72799054969 = 1578432^2 + 269813^2 .

It is a cyclic number.

It is not a de Polignac number, because 2564246633593 - 2²⁵ = 2564213079161 is a prime.

It is not a weakly prime, because it can be changed into another prime (2564246633513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1282123316796 + 1282123316797.

It is an arithmetic number, because the mean of its divisors is an integer number (1282123316797).

Almost surely, 2^{2564246633593} is an apocalyptic number.

It is an amenable number.

2564246633593 is a deficient number, since it is larger than the sum of its proper divisors (1).

2564246633593 is an equidigital number, since it uses as much as digits as its factorization.

2564246633593 is an evil number, because the sum of its binary digits is even.

The product of its digits is 83980800, while the sum is 58.

The spelling of 2564246633593 in words is "two trillion, five hundred sixty-four billion, two hundred forty-six million, six hundred thirty-three thousand, five hundred ninety-three".