523313 has 4 divisors (see below), whose sum is σ = 598080. Its totient is φ = 448548.

The previous prime is 523307. The next prime is 523333. The reversal of 523313 is 313325.

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 523313 - 2⁴ = 523297 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 523291 and 523300.

It is not an unprimeable number, because it can be changed into a prime (523333) 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, 37373 + ... + 37386.

It is an arithmetic number, because the mean of its divisors is an integer number (149520).

2⁵²³³¹³ is an apocalyptic number.

It is an amenable number.

523313 is a deficient number, since it is larger than the sum of its proper divisors (74767).

523313 is an equidigital number, since it uses as much as digits as its factorization.

523313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74766.

The product of its digits is 270, while the sum is 17.

The square root of 523313 is about 723.4037600123. The cubic root of 523313 is about 80.5849315155.

Adding to 523313 its reverse (313325), we get a palindrome (836638).

The spelling of 523313 in words is "five hundred twenty-three thousand, three hundred thirteen".