13395709800225 has 243 divisors, whose sum is σ = 26393298117849. Its totient is φ = 6493159411200.

The previous prime is 13395709800223. The next prime is 13395709800247. The reversal of 13395709800225 is 52200890759331.

The square root of 13395709800225 is 3660015.

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

13395709800225 is a `hidden beast` number, since 1 + 339 + 5 + 7 + 0 + 9 + 80 + 0 + 225 = 666.

13395709800225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 313339094289 + 13082370705936 = 559767^2 + 3616956^2 .

It is not a de Polignac number, because 13395709800225 - 2¹ = 13395709800223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13395709800223) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 28932418344 + ... + 28932418806.

Almost surely, 2^{13395709800225} is an apocalyptic number.

13395709800225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13395709800225 is the 3660015-th square number.

13395709800225 is the 1830008-th centered octagonal number.

It is an amenable number.

13395709800225 is a deficient number, since it is larger than the sum of its proper divisors (12997588317624).

13395709800225 is an equidigital number, since it uses as much as digits as its factorization.

13395709800225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 13395709800225 in words is "thirteen trillion, three hundred ninety-five billion, seven hundred nine million, eight hundred thousand, two hundred twenty-five".