506010100 has 54 divisors (see below), whose sum is σ = 1166498690. Its totient is φ = 190487040.

The previous prime is 506010091. The next prime is 506010119. The reversal of 506010100 is 1010605.

It can be written as a sum of positive squares in 9 ways, for example, as 158709604 + 347300496 = 12598^2 + 18636^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 20146 + ... + 37654.

Almost surely, 2^506010100 is an apocalyptic number.

506010100 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 506010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583249345).

506010100 is an abundant number, since it is smaller than the sum of its proper divisors (660488590).

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

506010100 is a wasteful number, since it uses less digits than its factorization.

506010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17557 (or 17533 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 506010100 is about 22494.6682571671. The cubic root of 506010100 is about 796.8680147536.

Adding to 506010100 its reverse (1010605), we get a palindrome (507020705).

The spelling of 506010100 in words is "five hundred six million, ten thousand, one hundred".