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13509 = 321979
BaseRepresentation
bin11010011000101
3200112100
43103011
5413014
6142313
754246
oct32305
920470
1013509
11a171
127999
1361c2
144ccd
154009
hex34c5

13509 has 12 divisors (see below), whose sum is σ = 20800. Its totient is φ = 8424.

The previous prime is 13499. The next prime is 13513. The reversal of 13509 is 90531.

13509 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13509 - 25 = 13477 is a prime.

It is a Duffinian number.

It is a plaindrome in base 12 and base 14.

It is a junction number, because it is equal to n+sod(n) for n = 13491 and 13500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 132 + ... + 210.

213509 is an apocalyptic number.

13509 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

13509 is a deficient number, since it is larger than the sum of its proper divisors (7291).

13509 is a wasteful number, since it uses less digits than its factorization.

13509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 13509 is about 116.2282237669. The cubic root of 13509 is about 23.8163059409.

The spelling of 13509 in words is "thirteen thousand, five hundred nine".

Divisors: 1 3 9 19 57 79 171 237 711 1501 4503 13509