505959 has 8 divisors (see below), whose sum is σ = 678912. Its totient is φ = 335160.

The previous prime is 505949. The next prime is 505961. The reversal of 505959 is 959505.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 505959 - 2⁵ = 505927 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 505959.

It is not an unprimeable number, because it can be changed into a prime (505919) 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, 132 + ... + 1014.

It is an arithmetic number, because the mean of its divisors is an integer number (84864).

2⁵⁰⁵⁹⁵⁹ is an apocalyptic number.

505959 is a deficient number, since it is larger than the sum of its proper divisors (172953).

505959 is a wasteful number, since it uses less digits than its factorization.

505959 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077.

The product of its (nonzero) digits is 10125, while the sum is 33.

The square root of 505959 is about 711.3079501875. The cubic root of 505959 is about 79.6841189646.

The spelling of 505959 in words is "five hundred five thousand, nine hundred fifty-nine".