506565500 has 96 divisors (see below), whose sum is σ = 1277797248. Its totient is φ = 171840000.

The previous prime is 506565497. The next prime is 506565509. The reversal of 506565500 is 5565605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506565509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 352784 + ... + 354216.

It is an arithmetic number, because the mean of its divisors is an integer number (13310388).

Almost surely, 2^506565500 is an apocalyptic number.

506565500 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 506565500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638898624).

506565500 is an abundant number, since it is smaller than the sum of its proper divisors (771231748).

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

506565500 is a wasteful number, since it uses less digits than its factorization.

506565500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1560 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 32.

The square root of 506565500 is about 22507.0100191029. The cubic root of 506565500 is about 797.1594573339.

The spelling of 506565500 in words is "five hundred six million, five hundred sixty-five thousand, five hundred".