13135724625 has 16 divisors (see below), whose sum is σ = 21857846400. Its totient is φ = 7005719600.

The previous prime is 13135724599. The next prime is 13135724629. The reversal of 13135724625 is 52642753131.

It is not a de Polignac number, because 13135724625 - 2⁶ = 13135724561 is a prime.

It is a super-2 number, since 2×13135724625² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13135724629) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17513925 + ... + 17514674.

It is an arithmetic number, because the mean of its divisors is an integer number (1366115400).

Almost surely, 2^13135724625 is an apocalyptic number.

13135724625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13135724625 is a deficient number, since it is larger than the sum of its proper divisors (8722121775).

13135724625 is an equidigital number, since it uses as much as digits as its factorization.

13135724625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35028617 (or 35028607 counting only the distinct ones).

The product of its digits is 151200, while the sum is 39.

The spelling of 13135724625 in words is "thirteen billion, one hundred thirty-five million, seven hundred twenty-four thousand, six hundred twenty-five".