18005313 has 8 divisors (see below), whose sum is σ = 24026688. Its totient is φ = 11993744.

The previous prime is 18005291. The next prime is 18005333. The reversal of 18005313 is 31350081.

It is a happy number.

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 18005313 - 2⁶ = 18005249 is a prime.

It is a Curzon number.

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 18005313.

It is not an unprimeable number, because it can be changed into a prime (18005333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6031 + ... + 8507.

It is an arithmetic number, because the mean of its divisors is an integer number (3003336).

Almost surely, 2^18005313 is an apocalyptic number.

It is an amenable number.

18005313 is a deficient number, since it is larger than the sum of its proper divisors (6021375).

18005313 is a wasteful number, since it uses less digits than its factorization.

18005313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4903.

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 18005313 is about 4243.2667839767. The cubic root of 18005313 is about 262.0999220677.

Adding to 18005313 its reverse (31350081), we get a palindrome (49355394).

The spelling of 18005313 in words is "eighteen million, five thousand, three hundred thirteen".