2585023013 has 2 divisors, whose sum is σ = 2585023014. Its totient is φ = 2585023012.

The previous prime is 2585022977. The next prime is 2585023039. The reversal of 2585023013 is 3103205852.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1508001889 + 1077021124 = 38833^2 + 32818^2 .

It is a cyclic number.

It is not a de Polignac number, because 2585023013 - 2⁶ = 2585022949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2585023073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1292511506 + 1292511507.

It is an arithmetic number, because the mean of its divisors is an integer number (1292511507).

Almost surely, 2^2585023013 is an apocalyptic number.

It is an amenable number.

2585023013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2585023013 is an equidigital number, since it uses as much as digits as its factorization.

2585023013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 2585023013 is about 50843.1215898473. The cubic root of 2585023013 is about 1372.4234748415.

Adding to 2585023013 its reverse (3103205852), we get a palindrome (5688228865).

The spelling of 2585023013 in words is "two billion, five hundred eighty-five million, twenty-three thousand, thirteen".