263601 has 16 divisors (see below), whose sum is σ = 421120. Its totient is φ = 162000.

The previous prime is 263597. The next prime is 263609. The reversal of 263601 is 106362.

It is a happy number.

263601 is a `hidden beast` number, since 2 + 63 + 601 = 666.

It is not a de Polignac number, because 263601 - 2² = 263597 is a prime.

It is a Duffinian number.

It is a Curzon number.

263601 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25 + ... + 726.

It is an arithmetic number, because the mean of its divisors is an integer number (26320).

2²⁶³⁶⁰¹ is an apocalyptic number.

It is an amenable number.

263601 is a deficient number, since it is larger than the sum of its proper divisors (157519).

263601 is a wasteful number, since it uses less digits than its factorization.

263601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 263601 is about 513.4208799805. The cubic root of 263601 is about 64.1183519663.

Adding to 263601 its reverse (106362), we get a palindrome (369963).

The spelling of 263601 in words is "two hundred sixty-three thousand, six hundred one".