505363 has 4 divisors (see below), whose sum is σ = 511840. Its totient is φ = 498888.

The previous prime is 505357. The next prime is 505367. The reversal of 505363 is 363505.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 363505 = 5 ⋅72701.

It is a cyclic number.

It is not a de Polignac number, because 505363 - 2⁹ = 504851 is a prime.

It is a deceptive number, since it divides R₅₀₅₃₆₂.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (505367) 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 3 ways as a sum of consecutive naturals, for example, 3120 + ... + 3277.

It is an arithmetic number, because the mean of its divisors is an integer number (127960).

2⁵⁰⁵³⁶³ is an apocalyptic number.

505363 is a deficient number, since it is larger than the sum of its proper divisors (6477).

505363 is an equidigital number, since it uses as much as digits as its factorization.

505363 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6476.

The product of its (nonzero) digits is 1350, while the sum is 22.

The square root of 505363 is about 710.8888802056. Note that the first 5 decimals coincide. The cubic root of 505363 is about 79.6528184080.

Adding to 505363 its reverse (363505), we get a palindrome (868868).

It can be divided in two parts, 505 and 363, that multiplied together give a triangular number (183315 = T₆₀₅).

The spelling of 505363 in words is "five hundred five thousand, three hundred sixty-three".