505263 has 16 divisors (see below), whose sum is σ = 749952. Its totient is φ = 300000.

The previous prime is 505237. The next prime is 505277. The reversal of 505263 is 362505.

505263 = T₉₇ + T₉₈ + ... + T₁₅₇.

It is not a de Polignac number, because 505263 - 2⁵ = 505231 is a prime.

505263 is a lucky 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 505263.

It is not an unprimeable number, because it can be changed into a prime (505213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1888 + ... + 2138.

It is an arithmetic number, because the mean of its divisors is an integer number (46872).

2⁵⁰⁵²⁶³ is an apocalyptic number.

505263 is a deficient number, since it is larger than the sum of its proper divisors (244689).

505263 is a wasteful number, since it uses less digits than its factorization.

505263 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326.

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 505263 is about 710.8185422455. The cubic root of 505263 is about 79.6475642262.

Adding to 505263 its reverse (362505), we get a palindrome (867768).

It can be divided in two parts, 5052 and 63, that added together give a palindrome (5115).

The spelling of 505263 in words is "five hundred five thousand, two hundred sixty-three".