13200178572025 has 9 divisors (see below), whose sum is σ = 16368243955213. Its totient is φ = 10560128324800.

The previous prime is 13200178571953. The next prime is 13200178572149. The reversal of 13200178572025 is 52027587100231.

The square root of 13200178572025 is 3633205.

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

It can be written as a sum of positive squares in 4 ways, for example, as 102699098089 + 13097479473936 = 320467^2 + 3619044^2 .

It is a de Polignac number, because none of the positive numbers 2^k-13200178572025 is a prime.

It is a super-2 number, since 2×13200178572025² (a number of 27 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 (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17802705 + ... + 18529345.

Almost surely, 2^{13200178572025} is an apocalyptic number.

13200178572025 is the 3633205-th square number.

13200178572025 is the 1816603-rd centered octagonal number.

It is an amenable number.

13200178572025 is a deficient number, since it is larger than the sum of its proper divisors (3168065383188).

13200178572025 is an frugal number, since it uses more digits than its factorization.

13200178572025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453292 (or 726646 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 43.

The spelling of 13200178572025 in words is "thirteen trillion, two hundred billion, one hundred seventy-eight million, five hundred seventy-two thousand, twenty-five".