13693441216225 has 27 divisors (see below), whose sum is σ = 17021103524499. Its totient is φ = 10928213238000.

The previous prime is 13693441216199. The next prime is 13693441216267. The reversal of 13693441216225 is 52261214439631.

The square root of 13693441216225 is 3700465.

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., 4929638837841 + 8763802378384 = 2220279^2 + 2960372^2 .

It is not a de Polignac number, because 13693441216225 - 2¹⁷ = 13693441085153 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 (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11896994400 + ... + 11896995550.

Almost surely, 2^{13693441216225} is an apocalyptic number.

13693441216225 is the 3700465-th square number.

13693441216225 is the 1850233-rd centered octagonal number.

It is an amenable number.

13693441216225 is a deficient number, since it is larger than the sum of its proper divisors (3327662308274).

13693441216225 is an frugal number, since it uses more digits than its factorization.

13693441216225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3598 (or 1799 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 49.

Multiplying 13693441216225 by its sum of digits (49), we get a square (670978619595025 = 25903255²).

The spelling of 13693441216225 in words is "thirteen trillion, six hundred ninety-three billion, four hundred forty-one million, two hundred sixteen thousand, two hundred twenty-five".