2566264769 has 2 divisors, whose sum is σ = 2566264770. Its totient is φ = 2566264768.

The previous prime is 2566264669. The next prime is 2566264783. The reversal of 2566264769 is 9674626652.

2566264769 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 can be written as a sum of positive squares in only one way, i.e., 1893381169 + 672883600 = 43513^2 + 25940^2 .

It is a cyclic number.

It is not a de Polignac number, because 2566264769 - 2⁸ = 2566264513 is a prime.

It is a super-2 number, since 2×2566264769² = 13171429729221246722, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2566264769.

It is not a weakly prime, because it can be changed into another prime (2566264069) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1283132384 + 1283132385.

It is an arithmetic number, because the mean of its divisors is an integer number (1283132385).

Almost surely, 2^2566264769 is an apocalyptic number.

It is an amenable number.

2566264769 is a deficient number, since it is larger than the sum of its proper divisors (1).

2566264769 is an equidigital number, since it uses as much as digits as its factorization.

2566264769 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6531840, while the sum is 53.

The square root of 2566264769 is about 50658.3139178556. The cubic root of 2566264769 is about 1369.0957445937.

The spelling of 2566264769 in words is "two billion, five hundred sixty-six million, two hundred sixty-four thousand, seven hundred sixty-nine".