13086993584025 has 189 divisors, whose sum is σ = 24640543701423. Its totient is φ = 6891952586400.

The previous prime is 13086993584011. The next prime is 13086993584069. The reversal of 13086993584025 is 52048539968031.

The square root of 13086993584025 is 3617595.

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

13086993584025 is a `hidden beast` number, since 1 + 30 + 8 + 69 + 93 + 58 + 402 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4711317690249 + 8375675893776 = 2170557^2 + 2894076^2 .

It is not a de Polignac number, because 13086993584025 - 2¹⁵ = 13086993551257 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 62023666170 + ... + 62023666380.

Almost surely, 2^{13086993584025} is an apocalyptic number.

13086993584025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13086993584025 is the 3617595-th square number.

13086993584025 is the 1808798-th centered octagonal number.

It is an amenable number.

13086993584025 is a deficient number, since it is larger than the sum of its proper divisors (11553550117398).

13086993584025 is an frugal number, since it uses more digits than its factorization.

13086993584025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 13086993584025 in words is "thirteen trillion, eighty-six billion, nine hundred ninety-three million, five hundred eighty-four thousand, twenty-five".