506311 has 16 divisors (see below), whose sum is σ = 604800. Its totient is φ = 419328.

The previous prime is 506291. The next prime is 506327. The reversal of 506311 is 113605.

It is not a de Polignac number, because 506311 - 2⁷ = 506183 is a prime.

It is a super-3 number, since 3×506311³ = 389379733321674693, which contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6370 + ... + 6448.

It is an arithmetic number, because the mean of its divisors is an integer number (37800).

2⁵⁰⁶³¹¹ is an apocalyptic number.

506311 is a deficient number, since it is larger than the sum of its proper divisors (98489).

506311 is a wasteful number, since it uses less digits than its factorization.

506311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138.

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 506311 is about 711.5553386772. Note that the first 3 decimals coincide. The cubic root of 506311 is about 79.7025936551.

Adding to 506311 its reverse (113605), we get a palindrome (619916).

The spelling of 506311 in words is "five hundred six thousand, three hundred eleven".