12382125625 has 15 divisors (see below), whose sum is σ = 15476181193. Its totient is φ = 9903475000.

The previous prime is 12382125577. The next prime is 12382125659. The reversal of 12382125625 is 52652128321.

The square root of 12382125625 is 111275.

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 970758649 + 11411366976 = 31157^2 + 106824^2 .

It is not a de Polignac number, because 12382125625 - 2⁹ = 12382125113 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2779650 + ... + 2784100.

Almost surely, 2^12382125625 is an apocalyptic number.

12382125625 is the 111275-th square number.

12382125625 is the 55638-th centered octagonal number.

It is an amenable number.

12382125625 is a deficient number, since it is larger than the sum of its proper divisors (3094055568).

12382125625 is an frugal number, since it uses more digits than its factorization.

12382125625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8922 (or 4456 counting only the distinct ones).

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

Multiplying 12382125625 by its product of digits (57600), we get a square (713210436000000 = 26706000²).

The spelling of 12382125625 in words is "twelve billion, three hundred eighty-two million, one hundred twenty-five thousand, six hundred twenty-five".