506005050 has 96 divisors (see below), whose sum is σ = 1313755200. Its totient is φ = 128719360.

The previous prime is 506005039. The next prime is 506005057. The reversal of 506005050 is 50500605.

It is a super-2 number, since 2×506005050² = 512082221251005000, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (506005057) 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 47 ways as a sum of consecutive naturals, for example, 386497 + ... + 387803.

It is an arithmetic number, because the mean of its divisors is an integer number (13684950).

Almost surely, 2^506005050 is an apocalyptic number.

506005050 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 506005050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656877600).

506005050 is an abundant number, since it is smaller than the sum of its proper divisors (807750150).

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

506005050 is a wasteful number, since it uses less digits than its factorization.

506005050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 21.

The square root of 506005050 is about 22494.5560080656. The cubic root of 506005050 is about 796.8653638204.

Adding to 506005050 its reverse (50500605), we get a palindrome (556505655).

The spelling of 506005050 in words is "five hundred six million, five thousand, fifty".