2564713704911 has 2 divisors, whose sum is σ = 2564713704912. Its totient is φ = 2564713704910.

The previous prime is 2564713704907. The next prime is 2564713704989. The reversal of 2564713704911 is 1194073174652.

2564713704911 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2564713704911 - 2² = 2564713704907 is a prime.

It is a Sophie Germain prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2564713704911.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2564713704811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1282356852455 + 1282356852456.

It is an arithmetic number, because the mean of its divisors is an integer number (1282356852456).

Almost surely, 2^{2564713704911} is an apocalyptic number.

2564713704911 is a deficient number, since it is larger than the sum of its proper divisors (1).

2564713704911 is an equidigital number, since it uses as much as digits as its factorization.

2564713704911 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1270080, while the sum is 50.

The spelling of 2564713704911 in words is "two trillion, five hundred sixty-four billion, seven hundred thirteen million, seven hundred four thousand, nine hundred eleven".