506234133 has 24 divisors (see below), whose sum is σ = 756288000. Its totient is φ = 326106144.

The previous prime is 506234107. The next prime is 506234147. The reversal of 506234133 is 331432605.

It is a happy number.

506234133 is a `hidden beast` number, since 5 + 0 + 623 + 4 + 1 + 33 = 666.

It is not a de Polignac number, because 506234133 - 2¹⁷ = 506103061 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 506234097 and 506234106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506234033) 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 23 ways as a sum of consecutive naturals, for example, 25843 + ... + 40991.

It is an arithmetic number, because the mean of its divisors is an integer number (31512000).

Almost surely, 2^506234133 is an apocalyptic number.

It is an amenable number.

506234133 is a deficient number, since it is larger than the sum of its proper divisors (250053867).

506234133 is a wasteful number, since it uses less digits than its factorization.

506234133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15281 (or 15278 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 506234133 is about 22499.6473972371. The cubic root of 506234133 is about 796.9856002797.

Adding to 506234133 its reverse (331432605), we get a palindrome (837666738).

It can be divided in two parts, 50623 and 4133, that added together give a square (54756 = 234²).

The spelling of 506234133 in words is "five hundred six million, two hundred thirty-four thousand, one hundred thirty-three".