2566405313 has 2 divisors, whose sum is σ = 2566405314. Its totient is φ = 2566405312.

The previous prime is 2566405279. The next prime is 2566405321. The reversal of 2566405313 is 3135046652.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2562688129 + 3717184 = 50623^2 + 1928^2 .

It is a cyclic number.

It is not a de Polignac number, because 2566405313 - 2¹⁰ = 2566404289 is a prime.

It is not a weakly prime, because it can be changed into another prime (2566405393) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1283202656 + 1283202657.

It is an arithmetic number, because the mean of its divisors is an integer number (1283202657).

Almost surely, 2^2566405313 is an apocalyptic number.

It is an amenable number.

2566405313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2566405313 is an equidigital number, since it uses as much as digits as its factorization.

2566405313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64800, while the sum is 35.

The square root of 2566405313 is about 50659.7010749175. The cubic root of 2566405313 is about 1369.1207374266.

The spelling of 2566405313 in words is "two billion, five hundred sixty-six million, four hundred five thousand, three hundred thirteen".