13980083610025 has 243 divisors, whose sum is σ = 20448409493421. Its totient is φ = 9476108928000.

The previous prime is 13980083610001. The next prime is 13980083610037. The reversal of 13980083610025 is 52001638008931.

The square root of 13980083610025 is 3738995.

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

It can be written as a sum of positive squares in 40 ways, for example, as 234468039961 + 13745615570064 = 484219^2 + 3707508^2 .

It is a de Polignac number, because none of the positive numbers 2^k-13980083610025 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 229181698495 + ... + 229181698555.

Almost surely, 2^{13980083610025} is an apocalyptic number.

13980083610025 is the 3738995-th square number.

13980083610025 is the 1869498-th centered octagonal number.

It is an amenable number.

13980083610025 is a deficient number, since it is larger than the sum of its proper divisors (6468325883396).

13980083610025 is an equidigital number, since it uses as much as digits as its factorization.

13980083610025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 46.

The spelling of 13980083610025 in words is "thirteen trillion, nine hundred eighty billion, eighty-three million, six hundred ten thousand, twenty-five".