2564593 has 2 divisors, whose sum is σ = 2564594. Its totient is φ = 2564592.

The previous prime is 2564579. The next prime is 2564609. The reversal of 2564593 is 3954652.

2564593 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2521744 + 42849 = 1588^2 + 207^2 .

It is a cyclic number.

It is not a de Polignac number, because 2564593 - 2⁵ = 2564561 is a prime.

2564593 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (2561593) 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, 1282296 + 1282297.

It is an arithmetic number, because the mean of its divisors is an integer number (1282297).

2^2564593 is an apocalyptic number.

It is an amenable number.

2564593 is a deficient number, since it is larger than the sum of its proper divisors (1).

2564593 is an equidigital number, since it uses as much as digits as its factorization.

2564593 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 32400, while the sum is 34.

The square root of 2564593 is about 1601.4346692888. The cubic root of 2564593 is about 136.8798385173.

The spelling of 2564593 in words is "two million, five hundred sixty-four thousand, five hundred ninety-three".