12831225625 has 45 divisors (see below), whose sum is σ = 16846850251. Its totient is φ = 9768836000.

The previous prime is 12831225623. The next prime is 12831225689. The reversal of 12831225625 is 52652213821.

The square root of 12831225625 is 113275.

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

It can be written as a sum of positive squares in 7 ways, for example, as 2195016201 + 10636209424 = 46851^2 + 103132^2 .

It is not a de Polignac number, because 12831225625 - 2¹ = 12831225623 is a prime.

It is a Duffinian number.

Its product of digits (57600) is a multiple of the sum of its prime divisors (225).

It is not an unprimeable number, because it can be changed into a prime (12831225623) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 65133027 + ... + 65133223.

Almost surely, 2^12831225625 is an apocalyptic number.

12831225625 is the 113275-th square number.

12831225625 is the 56638-th centered octagonal number.

It is an amenable number.

12831225625 is a deficient number, since it is larger than the sum of its proper divisors (4015624626).

12831225625 is an frugal number, since it uses more digits than its factorization.

12831225625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 225 counting only the distinct ones).

The product of its digits is 57600, while the sum is 37.

Multiplying 12831225625 by its product of digits (57600), we get a square (739078596000000 = 27186000²).

The spelling of 12831225625 in words is "twelve billion, eight hundred thirty-one million, two hundred twenty-five thousand, six hundred twenty-five".