12819900625 has 45 divisors (see below), whose sum is σ = 18664063869. Its totient is φ = 8777202000.

The previous prime is 12819900593. The next prime is 12819900661. The reversal of 12819900625 is 52600991821.

The square root of 12819900625 is 113225.

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

It can be written as a sum of positive squares in 2 ways, for example, as 1005080209 + 11814820416 = 31703^2 + 108696^2 .

It is not a de Polignac number, because 12819900625 - 2⁵ = 12819900593 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 19814052 + ... + 19814698.

Almost surely, 2^12819900625 is an apocalyptic number.

12819900625 is the 113225-th square number.

12819900625 is the 56613-rd centered octagonal number.

It is an amenable number.

12819900625 is a deficient number, since it is larger than the sum of its proper divisors (5844163244).

12819900625 is an frugal number, since it uses more digits than its factorization.

12819900625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 43.

The spelling of 12819900625 in words is "twelve billion, eight hundred nineteen million, nine hundred thousand, six hundred twenty-five".