2566504772017 has 4 divisors (see below), whose sum is σ = 2621111256576. Its totient is φ = 2511898287460.

The previous prime is 2566504771813. The next prime is 2566504772033. The reversal of 2566504772017 is 7102774056652.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 2566504772017 - 2²⁷ = 2566370554289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2566504772417) 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 in 3 ways as a sum of consecutive naturals, for example, 27303242209 + ... + 27303242302.

It is an arithmetic number, because the mean of its divisors is an integer number (655277814144).

Almost surely, 2^{2566504772017} is an apocalyptic number.

It is an amenable number.

2566504772017 is a deficient number, since it is larger than the sum of its proper divisors (54606484559).

2566504772017 is an equidigital number, since it uses as much as digits as its factorization.

2566504772017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54606484558.

The product of its (nonzero) digits is 4939200, while the sum is 52.

The spelling of 2566504772017 in words is "two trillion, five hundred sixty-six billion, five hundred four million, seven hundred seventy-two thousand, seventeen".