2559728313 has 12 divisors (see below), whose sum is σ = 3716545300. Its totient is φ = 1697642496.

The previous prime is 2559728263. The next prime is 2559728323. The reversal of 2559728313 is 3138279552.

2559728313 is a `hidden beast` number, since 2 + 5 + 597 + 28 + 31 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 359367849 + 2200360464 = 18957^2 + 46908^2 .

It is not a de Polignac number, because 2559728313 - 2⁸ = 2559728057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2559728323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 735088 + ... + 738561.

Almost surely, 2^2559728313 is an apocalyptic number.

It is an amenable number.

2559728313 is a deficient number, since it is larger than the sum of its proper divisors (1156816987).

2559728313 is a wasteful number, since it uses less digits than its factorization.

2559728313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473848 (or 1473845 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 2559728313 is about 50593.7576485479. The cubic root of 2559728313 is about 1367.9323620631.

The spelling of 2559728313 in words is "two billion, five hundred fifty-nine million, seven hundred twenty-eight thousand, three hundred thirteen".