506133200 has 30 divisors (see below), whose sum is σ = 1215985974. Its totient is φ = 202453120.

The previous prime is 506133169. The next prime is 506133247. The reversal of 506133200 is 2331605.

It can be written as a sum of positive squares in 3 ways, for example, as 4910656 + 501222544 = 2216^2 + 22388^2 .

It is a super-2 number, since 2×506133200² = 512341632284480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 632267 + ... + 633066.

Almost surely, 2^506133200 is an apocalyptic number.

506133200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

506133200 is an abundant number, since it is smaller than the sum of its proper divisors (709852774).

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

506133200 is a wasteful number, since it uses less digits than its factorization.

506133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265351 (or 1265340 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 506133200 is about 22497.4042947181. The cubic root of 506133200 is about 796.9326290759.

Adding to 506133200 its reverse (2331605), we get a palindrome (508464805).

The spelling of 506133200 in words is "five hundred six million, one hundred thirty-three thousand, two hundred".