2561319 has 6 divisors (see below), whose sum is σ = 3699696. Its totient is φ = 1707540.

The previous prime is 2561291. The next prime is 2561323. The reversal of 2561319 is 9131652.

2561319 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2561319 - 2⁷ = 2561191 is a prime.

It is a super-2 number, since 2×2561319² = 13120710039522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2561292 and 2561301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2561389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 142287 + ... + 142304.

It is an arithmetic number, because the mean of its divisors is an integer number (616616).

2^2561319 is an apocalyptic number.

2561319 is a deficient number, since it is larger than the sum of its proper divisors (1138377).

2561319 is a wasteful number, since it uses less digits than its factorization.

2561319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284597 (or 284594 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 2561319 is about 1600.4121344204. The cubic root of 2561319 is about 136.8215660573.

The spelling of 2561319 in words is "two million, five hundred sixty-one thousand, three hundred nineteen".