13729548825 has 36 divisors (see below), whose sum is σ = 24602900140. Its totient is φ = 7318926720.

The previous prime is 13729548797. The next prime is 13729548839. The reversal of 13729548825 is 52884592731.

13729548825 is a `hidden beast` number, since 1 + 3 + 72 + 9 + 548 + 8 + 25 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 297666009 + 13431882816 = 17253^2 + 115896^2 .

It is not a de Polignac number, because 13729548825 - 2⁷ = 13729548697 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 497079 + ... + 523971.

Almost surely, 2^13729548825 is an apocalyptic number.

13729548825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13729548825 is a deficient number, since it is larger than the sum of its proper divisors (10873351315).

13729548825 is a wasteful number, since it uses less digits than its factorization.

13729548825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29178 (or 29170 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The spelling of 13729548825 in words is "thirteen billion, seven hundred twenty-nine million, five hundred forty-eight thousand, eight hundred twenty-five".