268556249 has 16 divisors (see below), whose sum is σ = 297845520. Its totient is φ = 240537600.

The previous prime is 268556213. The next prime is 268556263. The reversal of 268556249 is 942655862.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2866249 + 265690000 = 1693^2 + 16300^2 .

It is a cyclic number.

It is not a de Polignac number, because 268556249 - 2⁸ = 268555993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (268556149) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 288617 + ... + 289545.

It is an arithmetic number, because the mean of its divisors is an integer number (18615345).

Almost surely, 2^268556249 is an apocalyptic number.

It is an amenable number.

268556249 is a deficient number, since it is larger than the sum of its proper divisors (29289271).

268556249 is a wasteful number, since it uses less digits than its factorization.

268556249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1580.

The product of its digits is 1036800, while the sum is 47.

The square root of 268556249 is about 16387.6858952080. The cubic root of 268556249 is about 645.1763226056.

The spelling of 268556249 in words is "two hundred sixty-eight million, five hundred fifty-six thousand, two hundred forty-nine".