268813305 has 24 divisors (see below), whose sum is σ = 486203328. Its totient is φ = 137133216.

The previous prime is 268813289. The next prime is 268813319. The reversal of 268813305 is 503318862.

It is not a de Polignac number, because 268813305 - 2⁴ = 268813289 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 268813305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128827 + ... + 130896.

It is an arithmetic number, because the mean of its divisors is an integer number (20258472).

Almost surely, 2^268813305 is an apocalyptic number.

It is an amenable number.

268813305 is a deficient number, since it is larger than the sum of its proper divisors (217390023).

268813305 is a wasteful number, since it uses less digits than its factorization.

268813305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259757 (or 259754 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 268813305 is about 16395.5269814666. The cubic root of 268813305 is about 645.3821063830.

The spelling of 268813305 in words is "two hundred sixty-eight million, eight hundred thirteen thousand, three hundred five".