505505 has 32 divisors (see below), whose sum is σ = 822528. Its totient is φ = 288000.

The previous prime is 505501. The next prime is 505511.

It is a happy number.

505505 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 505505 - 2² = 505501 is a prime.

It is a Smith number, since the sum of its digits (20) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (505501) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4955 + ... + 5055.

It is an arithmetic number, because the mean of its divisors is an integer number (25704).

2⁵⁰⁵⁵⁰⁵ is an apocalyptic number.

505505 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

505505 is a deficient number, since it is larger than the sum of its proper divisors (317023).

505505 is a wasteful number, since it uses less digits than its factorization.

505505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137.

The product of its (nonzero) digits is 625, while the sum is 20.

The square root of 505505 is about 710.9887481529. The cubic root of 505505 is about 79.6602781554.

It can be divided in two parts, 50 and 5505, that added together give a palindrome (5555).

The spelling of 505505 in words is "five hundred five thousand, five hundred five".