2583999013 has 2 divisors, whose sum is σ = 2583999014. Its totient is φ = 2583999012.

The previous prime is 2583998981. The next prime is 2583999037. The reversal of 2583999013 is 3109993852.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1960098529 + 623900484 = 44273^2 + 24978^2 .

It is a cyclic number.

It is not a de Polignac number, because 2583999013 - 2⁵ = 2583998981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2583999053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1291999506 + 1291999507.

It is an arithmetic number, because the mean of its divisors is an integer number (1291999507).

Almost surely, 2^2583999013 is an apocalyptic number.

It is an amenable number.

2583999013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2583999013 is an equidigital number, since it uses as much as digits as its factorization.

2583999013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 524880, while the sum is 49.

The square root of 2583999013 is about 50833.0504003055. The cubic root of 2583999013 is about 1372.2422324515.

The spelling of 2583999013 in words is "two billion, five hundred eighty-three million, nine hundred ninety-nine thousand, thirteen".