506500 has 24 divisors (see below), whose sum is σ = 1107288. Its totient is φ = 202400.

The previous prime is 506491. The next prime is 506501. The reversal of 506500 is 5605.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 153664 + 352836 = 392^2 + 594^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506501) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7 + ... + 1006.

It is an arithmetic number, because the mean of its divisors is an integer number (46137).

2⁵⁰⁶⁵⁰⁰ is an apocalyptic number.

506500 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 506500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553644).

506500 is an abundant number, since it is smaller than the sum of its proper divisors (600788).

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

506500 is a wasteful number, since it uses less digits than its factorization.

506500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 506500 is about 711.6881339463. The cubic root of 506500 is about 79.7125097713.

The spelling of 506500 in words is "five hundred six thousand, five hundred".