2565566116097 has 2 divisors, whose sum is σ = 2565566116098. Its totient is φ = 2565566116096.

The previous prime is 2565566116067. The next prime is 2565566116133. The reversal of 2565566116097 is 7906116655652.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2304175238401 + 261390877696 = 1517951^2 + 511264^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2565566116097 is a prime.

It is not a weakly prime, because it can be changed into another prime (2565566116067) 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, 1282783058048 + 1282783058049.

It is an arithmetic number, because the mean of its divisors is an integer number (1282783058049).

Almost surely, 2^{2565566116097} is an apocalyptic number.

It is an amenable number.

2565566116097 is a deficient number, since it is larger than the sum of its proper divisors (1).

2565566116097 is an equidigital number, since it uses as much as digits as its factorization.

2565566116097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20412000, while the sum is 59.

The spelling of 2565566116097 in words is "two trillion, five hundred sixty-five billion, five hundred sixty-six million, one hundred sixteen thousand, ninety-seven".