25213082115169 has 81 divisors (see below), whose sum is σ = 29884791695499. Its totient is φ = 21258019036800.

The previous prime is 25213082115139. The next prime is 25213082115209. The reversal of 25213082115169 is 96151128031252.

The square root of 25213082115169 is 5021263.

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

It can be written as a sum of positive squares in 13 ways, for example, as 11619201603025 + 13593880512144 = 3408695^2 + 3686988^2 .

It is not a de Polignac number, because 25213082115169 - 2²⁵ = 25213048560737 is a prime.

It is a super-2 number, since 2×25213082115169² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (25213082115139) 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 80 ways as a sum of consecutive naturals, for example, 35967306519 + ... + 35967307219.

Almost surely, 2^{25213082115169} is an apocalyptic number.

25213082115169 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

25213082115169 is the 5021263-rd square number.

25213082115169 is the 2510632-nd centered octagonal number.

It is an amenable number.

25213082115169 is a deficient number, since it is larger than the sum of its proper divisors (4671709580330).

25213082115169 is an frugal number, since it uses more digits than its factorization.

25213082115169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 46.

The spelling of 25213082115169 in words is "twenty-five trillion, two hundred thirteen billion, eighty-two million, one hundred fifteen thousand, one hundred sixty-nine".