25327334521129 has 27 divisors (see below), whose sum is σ = 26187771467973. Its totient is φ = 24494802134400.

The previous prime is 25327334521081. The next prime is 25327334521249. The reversal of 25327334521129 is 92112543372352.

The square root of 25327334521129 is 5032627.

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

It can be written as a sum of positive squares in 4 ways, for example, as 20479199906025 + 4848134615104 = 4525395^2 + 2201848^2 .

It is not a de Polignac number, because 25327334521129 - 2¹⁹ = 25327333996841 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25327334531129) 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, 27030239149 + ... + 27030240085.

Almost surely, 2^{25327334521129} is an apocalyptic number.

25327334521129 is the 5032627-th square number.

25327334521129 is the 2516314-th centered octagonal number.

It is an amenable number.

25327334521129 is a deficient number, since it is larger than the sum of its proper divisors (860436946844).

25327334521129 is an frugal number, since it uses more digits than its factorization.

25327334521129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2218 (or 1109 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 49.

The spelling of 25327334521129 in words is "twenty-five trillion, three hundred twenty-seven billion, three hundred thirty-four million, five hundred twenty-one thousand, one hundred twenty-nine".