13729980625 has 45 divisors (see below), whose sum is σ = 17727890103. Its totient is φ = 10630116000.

The previous prime is 13729980613. The next prime is 13729980637. The reversal of 13729980625 is 52608992731.

The square root of 13729980625 is 117175.

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

13729980625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13729980613) and next prime (13729980637).

It can be written as a sum of positive squares in 7 ways, for example, as 7976454721 + 5753525904 = 89311^2 + 75852^2 .

It is not a de Polignac number, because 13729980625 - 2¹⁹ = 13729456337 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 125963071 + ... + 125963179.

Almost surely, 2^13729980625 is an apocalyptic number.

13729980625 is the 117175-th square number.

13729980625 is the 58588-th centered octagonal number.

It is an amenable number.

13729980625 is a deficient number, since it is larger than the sum of its proper divisors (3997909478).

13729980625 is an frugal number, since it uses more digits than its factorization.

13729980625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 52.

The spelling of 13729980625 in words is "thirteen billion, seven hundred twenty-nine million, nine hundred eighty thousand, six hundred twenty-five".