505393 has 16 divisors (see below), whose sum is σ = 635904. Its totient is φ = 391680.

The previous prime is 505369. The next prime is 505399. The reversal of 505393 is 393505.

505393 is nontrivially palindromic in base 6.

It is not a de Polignac number, because 505393 - 2¹⁷ = 374321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (505399) 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 15 ways as a sum of consecutive naturals, for example, 3621 + ... + 3757.

It is an arithmetic number, because the mean of its divisors is an integer number (39744).

2⁵⁰⁵³⁹³ is an apocalyptic number.

It is an amenable number.

505393 is a deficient number, since it is larger than the sum of its proper divisors (130511).

505393 is a wasteful number, since it uses less digits than its factorization.

505393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192.

The product of its (nonzero) digits is 2025, while the sum is 25.

The square root of 505393 is about 710.9099802366. The cubic root of 505393 is about 79.6543945274.

Adding to 505393 its reverse (393505), we get a palindrome (898898).

It can be divided in two parts, 505 and 393, that added together give a palindrome (898).

The spelling of 505393 in words is "five hundred five thousand, three hundred ninety-three".