2583011313 has 12 divisors (see below), whose sum is σ = 3735929028. Its totient is φ = 1719740160.

The previous prime is 2583011239. The next prime is 2583011323. The reversal of 2583011313 is 3131103852.

It can be written as a sum of positive squares in 2 ways, for example, as 894787569 + 1688223744 = 29913^2 + 41088^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2583011313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2583011323) 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, 181720 + ... + 195417.

It is an arithmetic number, because the mean of its divisors is an integer number (311327419).

Almost surely, 2^2583011313 is an apocalyptic number.

It is an amenable number.

2583011313 is a deficient number, since it is larger than the sum of its proper divisors (1152917715).

2583011313 is a wasteful number, since it uses less digits than its factorization.

2583011313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377904 (or 377901 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2583011313 is about 50823.3343357163. The cubic root of 2583011313 is about 1372.0673695906.

The spelling of 2583011313 in words is "two billion, five hundred eighty-three million, eleven thousand, three hundred thirteen".