263613 has 8 divisors (see below), whose sum is σ = 401728. Its totient is φ = 150624.

The previous prime is 263611. The next prime is 263621. The reversal of 263613 is 316362.

263613 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 263613 - 2¹ = 263611 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 12553 = 263613 / (2 + 6 + 3 + 6 + 1 + 3).

It is a Duffinian number.

263613 is strictly pandigital in base 7.

263613 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 263613.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263611) 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, 6256 + ... + 6297.

It is an arithmetic number, because the mean of its divisors is an integer number (50216).

2²⁶³⁶¹³ is an apocalyptic number.

It is an amenable number.

263613 is a deficient number, since it is larger than the sum of its proper divisors (138115).

263613 is a wasteful number, since it uses less digits than its factorization.

263613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12563.

The product of its digits is 648, while the sum is 21.

The square root of 263613 is about 513.4325661662. The cubic root of 263613 is about 64.1193249122.

Adding to 263613 its reverse (316362), we get a palindrome (579975).

The spelling of 263613 in words is "two hundred sixty-three thousand, six hundred thirteen".