506116000 has 96 divisors (see below), whose sum is σ = 1339320528. Its totient is φ = 186854400.

The previous prime is 506115971. The next prime is 506116019. The reversal of 506116000 is 611605.

It can be written as a sum of positive squares in 8 ways, for example, as 18766224 + 487349776 = 4332^2 + 22076^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47134 + ... + 56866.

Almost surely, 2^506116000 is an apocalyptic number.

506116000 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 506116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669660264).

506116000 is an abundant number, since it is smaller than the sum of its proper divisors (833204528).

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

506116000 is a wasteful number, since it uses less digits than its factorization.

506116000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9771 (or 9753 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 506116000 is about 22497.0220251481. The cubic root of 506116000 is about 796.9236015468.

Adding to 506116000 its reverse (611605), we get a palindrome (506727605).

The spelling of 506116000 in words is "five hundred six million, one hundred sixteen thousand".