2564532115073 has 2 divisors, whose sum is σ = 2564532115074. Its totient is φ = 2564532115072.

The previous prime is 2564532115043. The next prime is 2564532115097. The reversal of 2564532115073 is 3705112354652.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2499032973889 + 65499141184 = 1580833^2 + 255928^2 .

It is a cyclic number.

It is not a de Polignac number, because 2564532115073 - 2²⁸ = 2564263679617 is a prime.

It is not a weakly prime, because it can be changed into another prime (2564532115043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1282266057536 + 1282266057537.

It is an arithmetic number, because the mean of its divisors is an integer number (1282266057537).

Almost surely, 2^{2564532115073} is an apocalyptic number.

It is an amenable number.

2564532115073 is a deficient number, since it is larger than the sum of its proper divisors (1).

2564532115073 is an equidigital number, since it uses as much as digits as its factorization.

2564532115073 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 756000, while the sum is 44.

The spelling of 2564532115073 in words is "two trillion, five hundred sixty-four billion, five hundred thirty-two million, one hundred fifteen thousand, seventy-three".