12881115025 has 9 divisors (see below), whose sum is σ = 15973286331. Its totient is φ = 10304438040.

The previous prime is 12881115001. The next prime is 12881115029. The reversal of 12881115025 is 52051118821.

It is a happy number.

The square root of 12881115025 is 113495.

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., 4637201409 + 8243913616 = 68097^2 + 90796^2 .

It is not a de Polignac number, because 12881115025 - 2⁵ = 12881114993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12881115029) 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, 556126 + ... + 578824.

Almost surely, 2^12881115025 is an apocalyptic number.

12881115025 is the 113495-th square number.

12881115025 is the 56748-th centered octagonal number.

It is an amenable number.

12881115025 is a deficient number, since it is larger than the sum of its proper divisors (3092171306).

12881115025 is an frugal number, since it uses more digits than its factorization.

12881115025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45408 (or 22704 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 34.

Multiplying 12881115025 by its product of nonzero digits (6400), we get a square (82439136160000 = 9079600²).

The spelling of 12881115025 in words is "twelve billion, eight hundred eighty-one million, one hundred fifteen thousand, twenty-five".