13513365009 has 9 divisors (see below), whose sum is σ = 19519808763. Its totient is φ = 9008677512.

The previous prime is 13513365001. The next prime is 13513365011. The reversal of 13513365009 is 90056331531.

The square root of 13513365009 is 116247.

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

13513365009 is a `hidden beast` number, since 13 + 5 + 133 + 6 + 500 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6805755009 + 6707610000 = 82497^2 + 81900^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 13513365009 - 2³ = 13513365001 is a prime.

It is a super-2 number, since 2×13513365009² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13513365001) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 329367 + ... + 368115.

Almost surely, 2^13513365009 is an apocalyptic number.

13513365009 is the 116247-th square number.

13513365009 is the 58124-th centered octagonal number.

It is an amenable number.

13513365009 is a deficient number, since it is larger than the sum of its proper divisors (6006443754).

13513365009 is an frugal number, since it uses more digits than its factorization.

13513365009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77504 (or 38752 counting only the distinct ones).

The product of its (nonzero) digits is 36450, while the sum is 36.

Multiplying 13513365009 by its sum of digits (36), we get a square (486481140324 = 697482²).

The spelling of 13513365009 in words is "thirteen billion, five hundred thirteen million, three hundred sixty-five thousand, nine".