2585509369 has 2 divisors, whose sum is σ = 2585509370. Its totient is φ = 2585509368.

The previous prime is 2585509357. The next prime is 2585509453. The reversal of 2585509369 is 9639055852.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2551462144 + 34047225 = 50512^2 + 5835^2 .

It is a cyclic number.

It is not a de Polignac number, because 2585509369 - 2²¹ = 2583412217 is a prime.

It is a super-2 number, since 2×2585509369² = 13369717394373556322, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2585509309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1292754684 + 1292754685.

It is an arithmetic number, because the mean of its divisors is an integer number (1292754685).

Almost surely, 2^2585509369 is an apocalyptic number.

It is an amenable number.

2585509369 is a deficient number, since it is larger than the sum of its proper divisors (1).

2585509369 is an equidigital number, since it uses as much as digits as its factorization.

2585509369 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2916000, while the sum is 52.

The square root of 2585509369 is about 50847.9042734310. The cubic root of 2585509369 is about 1372.5095404240.

The spelling of 2585509369 in words is "two billion, five hundred eighty-five million, five hundred nine thousand, three hundred sixty-nine".