12967515625 has 21 divisors (see below), whose sum is σ = 16226999323. Its totient is φ = 10362625000.

The previous prime is 12967515623. The next prime is 12967515653. The reversal of 12967515625 is 52651576921.

The square root of 12967515625 is 113875.

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

12967515625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 11360788569 + 1606727056 = 106587^2 + 40084^2 .

It is not a de Polignac number, because 12967515625 - 2¹ = 12967515623 is a prime.

It is a super-2 number, since 2×12967515625² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12967515623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 14233920 + ... + 14234830.

Almost surely, 2^12967515625 is an apocalyptic number.

12967515625 is the 113875-th square number.

12967515625 is the 56938-th centered octagonal number.

It is an amenable number.

12967515625 is a deficient number, since it is larger than the sum of its proper divisors (3259483698).

12967515625 is an frugal number, since it uses more digits than its factorization.

12967515625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1852 (or 916 counting only the distinct ones).

The product of its digits is 1134000, while the sum is 49.

Multiplying 12967515625 by its sum of digits (49), we get a square (635408265625 = 797125²).

The spelling of 12967515625 in words is "twelve billion, nine hundred sixty-seven million, five hundred fifteen thousand, six hundred twenty-five".