506504100 has 72 divisors (see below), whose sum is σ = 1505125888. Its totient is φ = 131414400.

The previous prime is 506504099. The next prime is 506504107. The reversal of 506504100 is 1405605.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506504107) 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, 11716 + ... + 33915.

Almost surely, 2^506504100 is an apocalyptic number.

506504100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

506504100 is an abundant number, since it is smaller than the sum of its proper divisors (998621788).

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

506504100 is a wasteful number, since it uses less digits than its factorization.

506504100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45685 (or 45678 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 506504100 is about 22505.6459582923. The cubic root of 506504100 is about 797.1272485551.

Adding to 506504100 its reverse (1405605), we get a palindrome (507909705).

The spelling of 506504100 in words is "five hundred six million, five hundred four thousand, one hundred".