2561446319 has 2 divisors, whose sum is σ = 2561446320. Its totient is φ = 2561446318.

The previous prime is 2561446271. The next prime is 2561446343. The reversal of 2561446319 is 9136441652.

2561446319 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2561446319 - 2²⁴ = 2544669103 is a prime.

It is a super-2 number, since 2×2561446319² = 13122014490237299522, which contains 22 as substring.

It is a Sophie Germain prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2561440319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1280723159 + 1280723160.

It is an arithmetic number, because the mean of its divisors is an integer number (1280723160).

Almost surely, 2^2561446319 is an apocalyptic number.

2561446319 is a deficient number, since it is larger than the sum of its proper divisors (1).

2561446319 is an equidigital number, since it uses as much as digits as its factorization.

2561446319 is an evil number, because the sum of its binary digits is even.

The product of its digits is 155520, while the sum is 41.

The square root of 2561446319 is about 50610.7332391065. The cubic root of 2561446319 is about 1368.2383307885.

The spelling of 2561446319 in words is "two billion, five hundred sixty-one million, four hundred forty-six thousand, three hundred nineteen".