2564209313273 has 2 divisors, whose sum is σ = 2564209313274. Its totient is φ = 2564209313272.

The previous prime is 2564209313257. The next prime is 2564209313297. The reversal of 2564209313273 is 3723139024652.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2555099947024 + 9109366249 = 1598468^2 + 95443^2 .

It is a cyclic number.

It is not a de Polignac number, because 2564209313273 - 2⁴ = 2564209313257 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2564209313203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1282104656636 + 1282104656637.

It is an arithmetic number, because the mean of its divisors is an integer number (1282104656637).

Almost surely, 2^{2564209313273} is an apocalyptic number.

It is an amenable number.

2564209313273 is a deficient number, since it is larger than the sum of its proper divisors (1).

2564209313273 is an equidigital number, since it uses as much as digits as its factorization.

2564209313273 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1632960, while the sum is 47.

The spelling of 2564209313273 in words is "two trillion, five hundred sixty-four billion, two hundred nine million, three hundred thirteen thousand, two hundred seventy-three".