2564525317 has 2 divisors, whose sum is σ = 2564525318. Its totient is φ = 2564525316.

The previous prime is 2564525291. The next prime is 2564525333. The reversal of 2564525317 is 7135254652.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2533511556 + 31013761 = 50334^2 + 5569^2 .

It is a cyclic number.

It is not a de Polignac number, because 2564525317 - 2¹⁹ = 2564001029 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2564525317.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2564525347) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1282262658 + 1282262659.

It is an arithmetic number, because the mean of its divisors is an integer number (1282262659).

Almost surely, 2^2564525317 is an apocalyptic number.

It is an amenable number.

2564525317 is a deficient number, since it is larger than the sum of its proper divisors (1).

2564525317 is an equidigital number, since it uses as much as digits as its factorization.

2564525317 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 252000, while the sum is 40.

The square root of 2564525317 is about 50641.1425325298. The cubic root of 2564525317 is about 1368.7863436011.

Adding to 2564525317 its reverse (7135254652), we get a palindrome (9699779969).

The spelling of 2564525317 in words is "two billion, five hundred sixty-four million, five hundred twenty-five thousand, three hundred seventeen".