11517313 has 8 divisors (see below), whose sum is σ = 12224520. Its totient is φ = 10813440.

The previous prime is 11517307. The next prime is 11517353. The reversal of 11517313 is 31371511.

It can be written as a sum of positive squares in 4 ways, for example, as 1065024 + 10452289 = 1032^2 + 3233^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11517313 - 2⁹ = 11516801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11517353) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12633 + ... + 13513.

It is an arithmetic number, because the mean of its divisors is an integer number (1528065).

Almost surely, 2^11517313 is an apocalyptic number.

It is an amenable number.

11517313 is a deficient number, since it is larger than the sum of its proper divisors (707207).

11517313 is an equidigital number, since it uses as much as digits as its factorization.

11517313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1667.

The product of its digits is 315, while the sum is 22.

The square root of 11517313 is about 3393.7166941275. The cubic root of 11517313 is about 225.8310860951.

Adding to 11517313 its reverse (31371511), we get a palindrome (42888824).

It can be divided in two parts, 1151 and 7313, that added together give a square (8464 = 92²).

The spelling of 11517313 in words is "eleven million, five hundred seventeen thousand, three hundred thirteen".