505311 has 8 divisors (see below), whose sum is σ = 677040. Its totient is φ = 335232.

The previous prime is 505301. The next prime is 505313. The reversal of 505311 is 113505.

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

It is not a de Polignac number, because 505311 - 2⁵ = 505279 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505313) 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, 951 + ... + 1383.

It is an arithmetic number, because the mean of its divisors is an integer number (84630).

2⁵⁰⁵³¹¹ is an apocalyptic number.

505311 is a deficient number, since it is larger than the sum of its proper divisors (171729).

505311 is a wasteful number, since it uses less digits than its factorization.

505311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825.

The product of its (nonzero) digits is 75, while the sum is 15.

The square root of 505311 is about 710.8523053349. The cubic root of 505311 is about 79.6500863200.

Adding to 505311 its reverse (113505), we get a palindrome (618816).

The spelling of 505311 in words is "five hundred five thousand, three hundred eleven".