513123313 has 4 divisors (see below), whose sum is σ = 513188848. Its totient is φ = 513057780.

The previous prime is 513123293. The next prime is 513123337. The reversal of 513123313 is 313321315.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 513123313 - 2¹⁷ = 512992241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513123383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19131 + ... + 37312.

It is an arithmetic number, because the mean of its divisors is an integer number (128297212).

Almost surely, 2^513123313 is an apocalyptic number.

It is an amenable number.

513123313 is a deficient number, since it is larger than the sum of its proper divisors (65535).

513123313 is an equidigital number, since it uses as much as digits as its factorization.

513123313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65534.

The product of its digits is 810, while the sum is 22.

The square root of 513123313 is about 22652.2253432196. The cubic root of 513123313 is about 800.5846315076.

Adding to 513123313 its reverse (313321315), we get a palindrome (826444628).

The spelling of 513123313 in words is "five hundred thirteen million, one hundred twenty-three thousand, three hundred thirteen".