13068116550225 has 405 divisors, whose sum is σ = 27260457283521. Its totient is φ = 6184227139200.

The previous prime is 13068116550217. The next prime is 13068116550259. The reversal of 13068116550225 is 52205561186031.

The square root of 13068116550225 is 3614985.

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

13068116550225 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 8 + 116 + 5 + 502 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 47912394321 + 13020204155904 = 218889^2 + 3608352^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is not a de Polignac number, because 13068116550225 - 2³ = 13068116550217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 119890977471 + ... + 119890977579.

Almost surely, 2^{13068116550225} is an apocalyptic number.

13068116550225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13068116550225 is the 3614985-th square number.

13068116550225 is the 1807493-rd centered octagonal number.

It is an amenable number.

13068116550225 is an abundant number, since it is smaller than the sum of its proper divisors (14192340733296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13068116550225 is an equidigital number, since it uses as much as digits as its factorization.

13068116550225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 13068116550225 in words is "thirteen trillion, sixty-eight billion, one hundred sixteen million, five hundred fifty thousand, two hundred twenty-five".