2585374817 has 2 divisors, whose sum is σ = 2585374818. Its totient is φ = 2585374816.

The previous prime is 2585374811. The next prime is 2585374819. The reversal of 2585374817 is 7184735852.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2355063841 + 230310976 = 48529^2 + 15176^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2585374817 is a prime.

Together with 2585374819, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2585374811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1292687408 + 1292687409.

It is an arithmetic number, because the mean of its divisors is an integer number (1292687409).

Almost surely, 2^2585374817 is an apocalyptic number.

It is an amenable number.

2585374817 is a deficient number, since it is larger than the sum of its proper divisors (1).

2585374817 is an equidigital number, since it uses as much as digits as its factorization.

2585374817 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1881600, while the sum is 50.

The square root of 2585374817 is about 50846.5811731723. The cubic root of 2585374817 is about 1372.4857311753.

The spelling of 2585374817 in words is "two billion, five hundred eighty-five million, three hundred seventy-four thousand, eight hundred seventeen".