2561998319 has 2 divisors, whose sum is σ = 2561998320. Its totient is φ = 2561998318.

The previous prime is 2561998297. The next prime is 2561998321. The reversal of 2561998319 is 9138991652.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2561998319 is a prime.

It is a super-2 number, since 2×2561998319² = 13127670773117651522, which contains 22 as substring.

Together with 2561998321, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2561998339) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1280999159 + 1280999160.

It is an arithmetic number, because the mean of its divisors is an integer number (1280999160).

Almost surely, 2^2561998319 is an apocalyptic number.

2561998319 is a deficient number, since it is larger than the sum of its proper divisors (1).

2561998319 is an equidigital number, since it uses as much as digits as its factorization.

2561998319 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1049760, while the sum is 53.

The square root of 2561998319 is about 50616.1863340177. The cubic root of 2561998319 is about 1368.3366103302.

The spelling of 2561998319 in words is "two billion, five hundred sixty-one million, nine hundred ninety-eight thousand, three hundred nineteen".