2564325025217 has 2 divisors, whose sum is σ = 2564325025218. Its totient is φ = 2564325025216.

The previous prime is 2564325025181. The next prime is 2564325025337. The reversal of 2564325025217 is 7125205234652.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2564325025201 + 16 = 1601351^2 + 4^2 .

It is a cyclic number.

It is not a de Polignac number, because 2564325025217 - 2³⁰ = 2563251283393 is a prime.

It is not a weakly prime, because it can be changed into another prime (2564325025517) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1282162512608 + 1282162512609.

It is an arithmetic number, because the mean of its divisors is an integer number (1282162512609).

Almost surely, 2^{2564325025217} is an apocalyptic number.

It is an amenable number.

2564325025217 is a deficient number, since it is larger than the sum of its proper divisors (1).

2564325025217 is an equidigital number, since it uses as much as digits as its factorization.

2564325025217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1008000, while the sum is 44.

The spelling of 2564325025217 in words is "two trillion, five hundred sixty-four billion, three hundred twenty-five million, twenty-five thousand, two hundred seventeen".