13008681630025 has 9 divisors (see below), whose sum is σ = 16130787583143. Its totient is φ = 10406930877000.

The previous prime is 13008681630013. The next prime is 13008681630031. The reversal of 13008681630025 is 52003618680031.

The square root of 13008681630025 is 3606755.

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

It can be written as a sum of positive squares in only one way, i.e., 4683125386809 + 8325556243216 = 2164053^2 + 2885404^2 .

It is not a de Polignac number, because 13008681630025 - 2³¹ = 13006534146377 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17673100 + ... + 18394450.

Almost surely, 2^{13008681630025} is an apocalyptic number.

13008681630025 is the 3606755-th square number.

13008681630025 is the 1803378-th centered octagonal number.

It is an amenable number.

13008681630025 is a deficient number, since it is larger than the sum of its proper divisors (3122105953118).

13008681630025 is an frugal number, since it uses more digits than its factorization.

13008681630025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1442712 (or 721356 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The spelling of 13008681630025 in words is "thirteen trillion, eight billion, six hundred eighty-one million, six hundred thirty thousand, twenty-five".