13398757009 has 27 divisors (see below), whose sum is σ = 15670162011. Its totient is φ = 11445656640.

The previous prime is 13398756997. The next prime is 13398757013. The reversal of 13398757009 is 90075789331.

It is a happy number.

The square root of 13398757009 is 115753.

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., 10431558225 + 2967198784 = 102135^2 + 54472^2 .

It is a de Polignac number, because none of the positive numbers 2^k-13398757009 is a prime.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13398757069) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21645502 + ... + 21646120.

Almost surely, 2^13398757009 is an apocalyptic number.

13398757009 is the 115753-rd square number.

13398757009 is the 57877-th centered octagonal number.

It is an amenable number.

13398757009 is a deficient number, since it is larger than the sum of its proper divisors (2271405002).

13398757009 is an frugal number, since it uses more digits than its factorization.

13398757009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 52.

The spelling of 13398757009 in words is "thirteen billion, three hundred ninety-eight million, seven hundred fifty-seven thousand, nine".