12813108025 has 9 divisors (see below), whose sum is σ = 15888955791. Its totient is φ = 10250033640.

The previous prime is 12813108023. The next prime is 12813108041. The reversal of 12813108025 is 52080131821.

The square root of 12813108025 is 113195.

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., 4612718889 + 8200389136 = 67917^2 + 90556^2 .

It is not a de Polignac number, because 12813108025 - 2¹ = 12813108023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12813108023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 554656 + ... + 577294.

Almost surely, 2^12813108025 is an apocalyptic number.

12813108025 is the 113195-th square number.

12813108025 is the 56598-th centered octagonal number.

It is an amenable number.

12813108025 is a deficient number, since it is larger than the sum of its proper divisors (3075847766).

12813108025 is an frugal number, since it uses more digits than its factorization.

12813108025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45288 (or 22644 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 31.

Adding to 12813108025 its reverse (52080131821), we get a palindrome (64893239846).

The spelling of 12813108025 in words is "twelve billion, eight hundred thirteen million, one hundred eight thousand, twenty-five".