506250 has 60 divisors (see below), whose sum is σ = 1417878. Its totient is φ = 135000.

The previous prime is 506213. The next prime is 506251. The reversal of 506250 is 52605.

It can be written as a sum of positive squares in 3 ways, for example, as 729 + 505521 = 27^2 + 711^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (506251) by changing a digit.

506250 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 101248 + ... + 101252.

2⁵⁰⁶²⁵⁰ is an apocalyptic number.

506250 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 506250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708939).

506250 is an abundant number, since it is smaller than the sum of its proper divisors (911628).

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

506250 is an frugal number, since it uses more digits than its factorization.

506250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 506250 is about 711.5124735379. The cubic root of 506250 is about 79.6993926887.

Adding to 506250 its reverse (52605), we get a palindrome (558855).

The spelling of 506250 in words is "five hundred six thousand, two hundred fifty".