263313 has 12 divisors (see below), whose sum is σ = 402948. Its totient is φ = 165120.

The previous prime is 263303. The next prime is 263323. The reversal of 263313 is 313362.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (263303) and next prime (263323).

It can be written as a sum of positive squares in 2 ways, for example, as 199809 + 63504 = 447^2 + 252^2 .

It is not a de Polignac number, because 263313 - 2¹³ = 255121 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (263303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 708 + ... + 1013.

It is an arithmetic number, because the mean of its divisors is an integer number (33579).

2²⁶³³¹³ is an apocalyptic number.

It is an amenable number.

263313 is a deficient number, since it is larger than the sum of its proper divisors (139635).

263313 is a wasteful number, since it uses less digits than its factorization.

263313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1744 (or 1741 counting only the distinct ones).

The product of its digits is 324, while the sum is 18.

The square root of 263313 is about 513.1403316833. The cubic root of 263313 is about 64.0949924007.

Adding to 263313 its reverse (313362), we get a palindrome (576675).

It can be divided in two parts, 263 and 313, that added together give a square (576 = 24²).

The spelling of 263313 in words is "two hundred sixty-three thousand, three hundred thirteen".