2561593 has 2 divisors, whose sum is σ = 2561594. Its totient is φ = 2561592.

The previous prime is 2561551. The next prime is 2561627. The reversal of 2561593 is 3951652.

2561593 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 can be written as a sum of positive squares in only one way, i.e., 2319529 + 242064 = 1523^2 + 492^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2561593 is a prime.

2561593 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (2561513) 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 as a sum of consecutive naturals, namely, 1280796 + 1280797.

It is an arithmetic number, because the mean of its divisors is an integer number (1280797).

2^2561593 is an apocalyptic number.

It is an amenable number.

2561593 is a deficient number, since it is larger than the sum of its proper divisors (1).

2561593 is an equidigital number, since it uses as much as digits as its factorization.

2561593 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8100, while the sum is 31.

The square root of 2561593 is about 1600.4977350812. The cubic root of 2561593 is about 136.8264447640.

It can be divided in two parts, 256 and 1593, that added together give a square (1849 = 43²).

The spelling of 2561593 in words is "two million, five hundred sixty-one thousand, five hundred ninety-three".