2564363457769 has 27 divisors (see below), whose sum is σ = 2653098790653. Its totient is φ = 2478564029592.

The previous prime is 2564363457737. The next prime is 2564363457779. The reversal of 2564363457769 is 9677543634652.

It is a happy number.

The square root of 2564363457769 is 1601363.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 2564363457769 - 2⁵ = 2564363457737 is a prime.

It is a super-2 number, since 2×2564363457769² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2564363457779) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11499387592 + ... + 11499387814.

Almost surely, 2^{2564363457769} is an apocalyptic number.

2564363457769 is the 1601363-rd square number.

2564363457769 is the 800682-nd centered octagonal number.

It is an amenable number.

2564363457769 is a deficient number, since it is larger than the sum of its proper divisors (88735332884).

2564363457769 is an frugal number, since it uses more digits than its factorization.

2564363457769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 433 counting only the distinct ones).

The product of its digits is 685843200, while the sum is 67.

The spelling of 2564363457769 in words is "two trillion, five hundred sixty-four billion, three hundred sixty-three million, four hundred fifty-seven thousand, seven hundred sixty-nine".