505116 has 30 divisors (see below), whose sum is σ = 1321320. Its totient is φ = 168264.

The previous prime is 505111. The next prime is 505117. The reversal of 505116 is 611505.

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

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505111) by changing a digit.

505116 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 9 ways as a sum of consecutive naturals, for example, 456 + ... + 1103.

It is an arithmetic number, because the mean of its divisors is an integer number (44044).

2⁵⁰⁵¹¹⁶ is an apocalyptic number.

It is an amenable number.

505116 is an abundant number, since it is smaller than the sum of its proper divisors (816204).

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

505116 is a wasteful number, since it uses less digits than its factorization.

505116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 505116 is about 710.7151328064. The cubic root of 505116 is about 79.6398393201.

The spelling of 505116 in words is "five hundred five thousand, one hundred sixteen".