506313 has 12 divisors (see below), whose sum is σ = 739908. Its totient is φ = 333600.

The previous prime is 506291. The next prime is 506327. The reversal of 506313 is 313605.

It can be written as a sum of positive squares in 2 ways, for example, as 278784 + 227529 = 528^2 + 477^2 .

It is not a de Polignac number, because 506313 - 2⁵ = 506281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (506333) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 631 + ... + 1187.

It is an arithmetic number, because the mean of its divisors is an integer number (61659).

2⁵⁰⁶³¹³ is an apocalyptic number.

It is an amenable number.

506313 is a deficient number, since it is larger than the sum of its proper divisors (233595).

506313 is a wasteful number, since it uses less digits than its factorization.

506313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 506313 is about 711.5567440479. The cubic root of 506313 is about 79.7026986004.

Adding to 506313 its reverse (313605), we get a palindrome (819918).

The spelling of 506313 in words is "five hundred six thousand, three hundred thirteen".