25563852769 has 45 divisors (see below), whose sum is σ = 32422412499. Its totient is φ = 20145762000.

The previous prime is 25563852739. The next prime is 25563852791. The reversal of 25563852769 is 96725836552.

The square root of 25563852769 is 159887.

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

It can be written as a sum of positive squares in only one way, i.e., 3781635025 + 21782217744 = 61495^2 + 147588^2 .

It is not a de Polignac number, because 25563852769 - 2⁹ = 25563852257 is a prime.

It is a super-2 number, since 2×25563852769² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25563852709) 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 44 ways as a sum of consecutive naturals, for example, 101847894 + ... + 101848144.

Almost surely, 2^25563852769 is an apocalyptic number.

25563852769 is the 159887-th square number.

25563852769 is the 79944-th centered octagonal number.

It is an amenable number.

25563852769 is a deficient number, since it is larger than the sum of its proper divisors (6858559730).

25563852769 is an frugal number, since it uses more digits than its factorization.

25563852769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 271 counting only the distinct ones).

The product of its digits is 27216000, while the sum is 58.

The spelling of 25563852769 in words is "twenty-five billion, five hundred sixty-three million, eight hundred fifty-two thousand, seven hundred sixty-nine".