2585653313 has 2 divisors, whose sum is σ = 2585653314. Its totient is φ = 2585653312.

The previous prime is 2585653163. The next prime is 2585653319. The reversal of 2585653313 is 3133565852.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2253211024 + 332442289 = 47468^2 + 18233^2 .

It is a cyclic number.

It is not a de Polignac number, because 2585653313 - 2²⁸ = 2317217857 is a prime.

It is not a weakly prime, because it can be changed into another prime (2585653319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1292826656 + 1292826657.

It is an arithmetic number, because the mean of its divisors is an integer number (1292826657).

Almost surely, 2^2585653313 is an apocalyptic number.

It is an amenable number.

2585653313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2585653313 is an equidigital number, since it uses as much as digits as its factorization.

2585653313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 324000, while the sum is 41.

The square root of 2585653313 is about 50849.3196906311. The cubic root of 2585653313 is about 1372.5350106917.

The spelling of 2585653313 in words is "two billion, five hundred eighty-five million, six hundred fifty-three thousand, three hundred thirteen".