506011000 has 128 divisors (see below), whose sum is σ = 1304372160. Its totient is φ = 182208000.

The previous prime is 506010917. The next prime is 506011049. The reversal of 506011000 is 110605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1726854 + ... + 1727146.

Almost surely, 2^506011000 is an apocalyptic number.

506011000 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 506011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652186080).

506011000 is an abundant number, since it is smaller than the sum of its proper divisors (798361160).

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

506011000 is a wasteful number, since it uses less digits than its factorization.

506011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 468 counting only the distinct ones).

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

The square root of 506011000 is about 22494.6882618986. The cubic root of 506011000 is about 796.8684871953.

Adding to 506011000 its reverse (110605), we get a palindrome (506121605).

The spelling of 506011000 in words is "five hundred six million, eleven thousand".