506100500 has 24 divisors (see below), whose sum is σ = 1105324584. Its totient is φ = 202440000.

The previous prime is 506100449. The next prime is 506100527. The reversal of 506100500 is 5001605.

It can be written as a sum of positive squares in 4 ways, for example, as 7739524 + 498360976 = 2782^2 + 22324^2 .

It is a super-2 number, since 2×506100500² = 512275432200500000, which contains 22 as substring.

It is a congruent number.

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, 505601 + ... + 506600.

It is an arithmetic number, because the mean of its divisors is an integer number (46055191).

Almost surely, 2^506100500 is an apocalyptic number.

506100500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

506100500 is an abundant number, since it is smaller than the sum of its proper divisors (599224084).

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

506100500 is a wasteful number, since it uses less digits than its factorization.

506100500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012220 (or 1012208 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 506100500 is about 22496.6775324713. The cubic root of 506100500 is about 796.9154660983.

The spelling of 506100500 in words is "five hundred six million, one hundred thousand, five hundred".