13805571892225 has 81 divisors (see below), whose sum is σ = 17782157199177. Its totient is φ = 10632399137280.

The previous prime is 13805571892187. The next prime is 13805571892241. The reversal of 13805571892225 is 52229817550831.

It is a happy number.

The square root of 13805571892225 is 3715585.

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 507617775729 + 13297954116496 = 712473^2 + 3646636^2 .

It is a de Polignac number, because none of the positive numbers 2^k-13805571892225 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13805571892225.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 84696759994 + ... + 84696760156.

Almost surely, 2^{13805571892225} is an apocalyptic number.

13805571892225 is the 3715585-th square number.

13805571892225 is the 1857793-rd centered octagonal number.

It is an amenable number.

13805571892225 is a deficient number, since it is larger than the sum of its proper divisors (3976585306952).

13805571892225 is an frugal number, since it uses more digits than its factorization.

13805571892225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 58.

The spelling of 13805571892225 in words is "thirteen trillion, eight hundred five billion, five hundred seventy-one million, eight hundred ninety-two thousand, two hundred twenty-five".