2564519 has 2 divisors, whose sum is σ = 2564520. Its totient is φ = 2564518.

The previous prime is 2564489. The next prime is 2564521. The reversal of 2564519 is 9154652.

It is a happy number.

2564519 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 a de Polignac number, because none of the positive numbers 2^k-2564519 is a prime.

It is a super-2 number, since 2×2564519² = 13153515402722, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 2564521, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 15.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2564539) 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, 1282259 + 1282260.

It is an arithmetic number, because the mean of its divisors is an integer number (1282260).

2^2564519 is an apocalyptic number.

2564519 is a deficient number, since it is larger than the sum of its proper divisors (1).

2564519 is an equidigital number, since it uses as much as digits as its factorization.

2564519 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10800, while the sum is 32.

The square root of 2564519 is about 1601.4115648390. The cubic root of 2564519 is about 136.8785219724.

The spelling of 2564519 in words is "two million, five hundred sixty-four thousand, five hundred nineteen".