505530 has 48 divisors (see below), whose sum is σ = 1356264. Its totient is φ = 130560.

The previous prime is 505523. The next prime is 505537. The reversal of 505530 is 35505.

It is an interprime number because it is at equal distance from previous prime (505523) and next prime (505537).

It can be written as a sum of positive squares in 4 ways, for example, as 294849 + 210681 = 543^2 + 459^2 .

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

It is not an unprimeable number, because it can be changed into a prime (505537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3622 + ... + 3758.

2⁵⁰⁵⁵³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678132).

505530 is an abundant number, since it is smaller than the sum of its proper divisors (850734).

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

505530 is a wasteful number, since it uses less digits than its factorization.

505530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 375, while the sum is 18.

The square root of 505530 is about 711.0063290858. The cubic root of 505530 is about 79.6615913466.

It can be divided in two parts, 505 and 530, that added together give a triangular number (1035 = T₄₅).

The spelling of 505530 in words is "five hundred five thousand, five hundred thirty".