506133 has 6 divisors (see below), whose sum is σ = 731094. Its totient is φ = 337416.

The previous prime is 506131. The next prime is 506147. The reversal of 506133 is 331605.

506133 is a `hidden beast` number, since 50 + 613 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 439569 + 66564 = 663^2 + 258^2 .

It is not a de Polignac number, because 506133 - 2¹ = 506131 is a prime.

It is a super-2 number, since 2×506133² = 512341227378, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28110 + ... + 28127.

It is an arithmetic number, because the mean of its divisors is an integer number (121849).

2⁵⁰⁶¹³³ is an apocalyptic number.

It is an amenable number.

506133 is a deficient number, since it is larger than the sum of its proper divisors (224961).

506133 is a wasteful number, since it uses less digits than its factorization.

506133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56243 (or 56240 counting only the distinct ones).

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

The square root of 506133 is about 711.4302495677. The cubic root of 506133 is about 79.6932524106.

Adding to 506133 its reverse (331605), we get a palindrome (837738).

The spelling of 506133 in words is "five hundred six thousand, one hundred thirty-three".