12785955625 has 15 divisors (see below), whose sum is σ = 15980863393. Its totient is φ = 10226503000.

The previous prime is 12785955617. The next prime is 12785955631. The reversal of 12785955625 is 52655958721.

The square root of 12785955625 is 113075.

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

12785955625 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 2 ways, for example, as 1002418921 + 11783536704 = 31661^2 + 108552^2 .

It is not a de Polignac number, because 12785955625 - 2³ = 12785955617 is a prime.

It is a super-2 number, since 2×12785955625² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 14 ways as a sum of consecutive naturals, for example, 2824614 + ... + 2829136.

Almost surely, 2^12785955625 is an apocalyptic number.

12785955625 is the 113075-th square number.

12785955625 is the 56538-th centered octagonal number.

It is an amenable number.

12785955625 is a deficient number, since it is larger than the sum of its proper divisors (3194907768).

12785955625 is an frugal number, since it uses more digits than its factorization.

12785955625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9066 (or 4528 counting only the distinct ones).

The product of its digits is 7560000, while the sum is 55.

The spelling of 12785955625 in words is "twelve billion, seven hundred eighty-five million, nine hundred fifty-five thousand, six hundred twenty-five".