2583116813 has 2 divisors, whose sum is σ = 2583116814. Its totient is φ = 2583116812.

The previous prime is 2583116791. The next prime is 2583116839. The reversal of 2583116813 is 3186113852.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2459862409 + 123254404 = 49597^2 + 11102^2 .

It is a cyclic number.

It is not a de Polignac number, because 2583116813 - 2⁶ = 2583116749 is a prime.

It is a super-4 number, since 4×2583116813⁴ (a number of 39 digits) contains 4444 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2583116213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1291558406 + 1291558407.

It is an arithmetic number, because the mean of its divisors is an integer number (1291558407).

Almost surely, 2^2583116813 is an apocalyptic number.

It is an amenable number.

2583116813 is a deficient number, since it is larger than the sum of its proper divisors (1).

2583116813 is an equidigital number, since it uses as much as digits as its factorization.

2583116813 is an evil number, because the sum of its binary digits is even.

The product of its digits is 34560, while the sum is 38.

The square root of 2583116813 is about 50824.3722341949. The cubic root of 2583116813 is about 1372.0860494852.

The spelling of 2583116813 in words is "two billion, five hundred eighty-three million, one hundred sixteen thousand, eight hundred thirteen".