25711217608129 has 9 divisors (see below), whose sum is σ = 25954302765027. Its totient is φ = 25470388368744.

The previous prime is 25711217608127. The next prime is 25711217608187. The reversal of 25711217608129 is 92180671211752.

It is a happy number.

The square root of 25711217608129 is 5070623.

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., 570821047729 + 25140396560400 = 755527^2 + 5014020^2 .

It is not a de Polignac number, because 25711217608129 - 2¹ = 25711217608127 is a prime.

It is a super-2 number, since 2×25711217608129² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25711217608127) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 542532967 + ... + 542580355.

Almost surely, 2^{25711217608129} is an apocalyptic number.

25711217608129 is the 5070623-rd square number.

25711217608129 is the 2535312-nd centered octagonal number.

It is an amenable number.

25711217608129 is a deficient number, since it is larger than the sum of its proper divisors (243085156898).

25711217608129 is an frugal number, since it uses more digits than its factorization.

25711217608129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94992 (or 47496 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 52.

The spelling of 25711217608129 in words is "twenty-five trillion, seven hundred eleven billion, two hundred seventeen million, six hundred eight thousand, one hundred twenty-nine".