506331 has 40 divisors (see below), whose sum is σ = 929280. Its totient is φ = 268272.

The previous prime is 506329. The next prime is 506333. The reversal of 506331 is 133605.

It is an interprime number because it is at equal distance from previous prime (506329) and next prime (506333).

It is not a de Polignac number, because 506331 - 2¹ = 506329 is a prime.

It is a super-2 number, since 2×506331² = 512742163122, which contains 22 as substring.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 10750 + ... + 10796.

It is an arithmetic number, because the mean of its divisors is an integer number (23232).

2⁵⁰⁶³³¹ is an apocalyptic number.

506331 is a deficient number, since it is larger than the sum of its proper divisors (422949).

506331 is a wasteful number, since it uses less digits than its factorization.

506331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 76 counting only the distinct ones).

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

The square root of 506331 is about 711.5693922591. The cubic root of 506331 is about 79.7036430963.

Adding to 506331 its reverse (133605), we get a palindrome (639936).

The spelling of 506331 in words is "five hundred six thousand, three hundred thirty-one".