506051100 has 108 divisors (see below), whose sum is σ = 1593819864. Its totient is φ = 134298240.

The previous prime is 506051089. The next prime is 506051101. The reversal of 506051100 is 1150605.

506051100 is a `hidden beast` number, since 50 + 605 + 1 + 10 + 0 = 666.

It is a super-2 number, since 2×506051100² = 512175431622420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506051101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 203062 + ... + 205538.

Almost surely, 2^506051100 is an apocalyptic number.

506051100 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 506051100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796909932).

506051100 is an abundant number, since it is smaller than the sum of its proper divisors (1087768764).

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

506051100 is a wasteful number, since it uses less digits than its factorization.

506051100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2724 (or 2714 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 506051100 is about 22495.5795657725. The cubic root of 506051100 is about 796.8895365284.

The spelling of 506051100 in words is "five hundred six million, fifty-one thousand, one hundred".