13308494982561 has 81 divisors (see below), whose sum is σ = 20575725462201. Its totient is φ = 8287506123264.

The previous prime is 13308494982551. The next prime is 13308494982589. The reversal of 13308494982561 is 16528949480331.

The square root of 13308494982561 is 3648081.

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

13308494982561 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 8 + 494 + 9 + 82 + 5 + 61 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6718916961 + 13301776065600 = 81969^2 + 3647160^2 .

It is not a de Polignac number, because 13308494982561 - 2⁹ = 13308494982049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13308494982551) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 43350146370 + ... + 43350146676.

Almost surely, 2^{13308494982561} is an apocalyptic number.

13308494982561 is the 3648081-st square number.

13308494982561 is the 1824041-st centered octagonal number.

It is an amenable number.

13308494982561 is a deficient number, since it is larger than the sum of its proper divisors (7267230479640).

13308494982561 is an frugal number, since it uses more digits than its factorization.

13308494982561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 13308494982561 in words is "thirteen trillion, three hundred eight billion, four hundred ninety-four million, nine hundred eighty-two thousand, five hundred sixty-one".