13205634630225 has 48 divisors (see below), whose sum is σ = 22195512384384. Its totient is φ = 6927091200000.

The previous prime is 13205634630211. The next prime is 13205634630259. The reversal of 13205634630225 is 52203643650231.

It is not a de Polignac number, because 13205634630225 - 2⁶ = 13205634630161 is a prime.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4628752 + ... + 6916401.

It is an arithmetic number, because the mean of its divisors is an integer number (462406508008).

Almost surely, 2^{13205634630225} is an apocalyptic number.

13205634630225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13205634630225 is a deficient number, since it is larger than the sum of its proper divisors (8989877754159).

13205634630225 is a wasteful number, since it uses less digits than its factorization.

13205634630225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11545418 (or 11545413 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 42.

The spelling of 13205634630225 in words is "thirteen trillion, two hundred five billion, six hundred thirty-four million, six hundred thirty thousand, two hundred twenty-five".