12993537669025 has 9 divisors (see below), whose sum is σ = 16112009058483. Its totient is φ = 10394815716600.

The previous prime is 12993537668977. The next prime is 12993537669041. The reversal of 12993537669025 is 52096673539921.

The square root of 12993537669025 is 3604655.

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

It can be written as a sum of positive squares in only one way, i.e., 4677673560849 + 8315864108176 = 2162793^2 + 2883724^2 .

It is not a de Polignac number, because 12993537669025 - 2⁹ = 12993537668513 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17662810 + ... + 18383740.

Almost surely, 2^{12993537669025} is an apocalyptic number.

12993537669025 is the 3604655-th square number.

12993537669025 is the 1802328-th centered octagonal number.

It is an amenable number.

12993537669025 is a deficient number, since it is larger than the sum of its proper divisors (3118471389458).

12993537669025 is an frugal number, since it uses more digits than its factorization.

12993537669025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441872 (or 720936 counting only the distinct ones).

The product of its (nonzero) digits is 165337200, while the sum is 67.

The spelling of 12993537669025 in words is "twelve trillion, nine hundred ninety-three billion, five hundred thirty-seven million, six hundred sixty-nine thousand, twenty-five".