11513 has 4 divisors (see below), whose sum is σ = 11940. Its totient is φ = 11088.

The previous prime is 11503. The next prime is 11519. The reversal of 11513 is 31511.

11513 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 6889 + 4624 = 83^2 + 68^2 .

It is a cyclic number.

It is not a de Polignac number, because 11513 - 2⁴ = 11497 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11494 and 11503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11519) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 170 + ... + 227.

It is an arithmetic number, because the mean of its divisors is an integer number (2985).

2¹¹⁵¹³ is an apocalyptic number.

It is an amenable number.

11513 is a deficient number, since it is larger than the sum of its proper divisors (427).

11513 is an equidigital number, since it uses as much as digits as its factorization.

11513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426.

The product of its digits is 15, while the sum is 11.

The square root of 11513 is about 107.2986486401. The cubic root of 11513 is about 22.5802892856.

It can be divided in two parts, 115 and 13, that added together give a 7-th power (128 = 2⁷).

The spelling of 11513 in words is "eleven thousand, five hundred thirteen".