506066500 has 24 divisors (see below), whose sum is σ = 1105250328. Its totient is φ = 202426400.

The previous prime is 506066453. The next prime is 506066513. The reversal of 506066500 is 5660605.

It can be written as a sum of positive squares in 4 ways, for example, as 1435204 + 504631296 = 1198^2 + 22464^2 .

It is a super-2 number, since 2×506066500² = 512206604844500000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 505567 + ... + 506566.

It is an arithmetic number, because the mean of its divisors is an integer number (46052097).

Almost surely, 2^506066500 is an apocalyptic number.

506066500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

506066500 is an abundant number, since it is smaller than the sum of its proper divisors (599183828).

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

506066500 is a wasteful number, since it uses less digits than its factorization.

506066500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012152 (or 1012140 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 506066500 is about 22495.9218526381. The cubic root of 506066500 is about 796.8976200166.

The spelling of 506066500 in words is "five hundred six million, sixty-six thousand, five hundred".