268812513 has 60 divisors (see below), whose sum is σ = 439803540. Its totient is φ = 163404864.

The previous prime is 268812487. The next prime is 268812529. The reversal of 268812513 is 315218862.

It is a happy number.

268812513 is a `hidden beast` number, since 2 + 68 + 81 + 2 + 513 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 67371264 + 201441249 = 8208^2 + 14193^2 .

It is not a de Polignac number, because 268812513 - 2⁹ = 268812001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (268812013) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 847831 + ... + 848147.

It is an arithmetic number, because the mean of its divisors is an integer number (7330059).

Almost surely, 2^268812513 is an apocalyptic number.

It is an amenable number.

268812513 is a deficient number, since it is larger than the sum of its proper divisors (170991027).

268812513 is a wasteful number, since it uses less digits than its factorization.

268812513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 368 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 268812513 is about 16395.5028285198. The cubic root of 268812513 is about 645.3814725563.

The spelling of 268812513 in words is "two hundred sixty-eight million, eight hundred twelve thousand, five hundred thirteen".