506033000 has 128 divisors (see below), whose sum is σ = 1304035200. Its totient is φ = 182272000.

The previous prime is 506032997. The next prime is 506033009. The reversal of 506033000 is 330605.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 506033000.

It is not an unprimeable number, because it can be changed into a prime (506033009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1968872 + ... + 1969128.

It is an arithmetic number, because the mean of its divisors is an integer number (10187775).

Almost surely, 2^506033000 is an apocalyptic number.

506033000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652017600).

506033000 is an abundant number, since it is smaller than the sum of its proper divisors (798002200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

506033000 is a wasteful number, since it uses less digits than its factorization.

506033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 17.

The square root of 506033000 is about 22495.1772609153. The cubic root of 506033000 is about 796.8800355955.

Adding to 506033000 its reverse (330605), we get a palindrome (506363605).

The spelling of 506033000 in words is "five hundred six million, thirty-three thousand".