2585358817 has 2 divisors, whose sum is σ = 2585358818. Its totient is φ = 2585358816.

The previous prime is 2585358799. The next prime is 2585358829. The reversal of 2585358817 is 7188535852.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1504198656 + 1081160161 = 38784^2 + 32881^2 .

It is a cyclic number.

It is not a de Polignac number, because 2585358817 - 2¹¹ = 2585356769 is a prime.

It is not a weakly prime, because it can be changed into another prime (2585358857) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1292679408 + 1292679409.

It is an arithmetic number, because the mean of its divisors is an integer number (1292679409).

Almost surely, 2^2585358817 is an apocalyptic number.

It is an amenable number.

2585358817 is a deficient number, since it is larger than the sum of its proper divisors (1).

2585358817 is an equidigital number, since it uses as much as digits as its factorization.

2585358817 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2688000, while the sum is 52.

The square root of 2585358817 is about 50846.4238368836. The cubic root of 2585358817 is about 1372.4828998879.

The spelling of 2585358817 in words is "two billion, five hundred eighty-five million, three hundred fifty-eight thousand, eight hundred seventeen".