505956 has 24 divisors (see below), whose sum is σ = 1288224. Its totient is φ = 153280.

The previous prime is 505949. The next prime is 505961. The reversal of 505956 is 659505.

It is a happy number.

It is an unprimeable number.

505956 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1785 + ... + 2048.

It is an arithmetic number, because the mean of its divisors is an integer number (53676).

2⁵⁰⁵⁹⁵⁶ is an apocalyptic number.

It is an amenable number.

505956 is an abundant number, since it is smaller than the sum of its proper divisors (782268).

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

505956 is a wasteful number, since it uses less digits than its factorization.

505956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3851 (or 3849 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 30.

The square root of 505956 is about 711.3058413931. The cubic root of 505956 is about 79.6839614730.

It can be divided in two parts, 5059 and 56, that added together give a palindrome (5115).

The spelling of 505956 in words is "five hundred five thousand, nine hundred fifty-six".