268800509 has 2 divisors, whose sum is σ = 268800510. Its totient is φ = 268800508.

The previous prime is 268800487. The next prime is 268800547. The reversal of 268800509 is 905008862.

It is an a-pointer prime, because the next prime (268800547) can be obtained adding 268800509 to its sum of digits (38).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 143472484 + 125328025 = 11978^2 + 11195^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-268800509 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (268800569) 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 as a sum of consecutive naturals, namely, 134400254 + 134400255.

It is an arithmetic number, because the mean of its divisors is an integer number (134400255).

Almost surely, 2^268800509 is an apocalyptic number.

It is an amenable number.

268800509 is a deficient number, since it is larger than the sum of its proper divisors (1).

268800509 is an equidigital number, since it uses as much as digits as its factorization.

268800509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 268800509 is about 16395.1367484385. The cubic root of 268800509 is about 645.3718657683.

The spelling of 268800509 in words is "two hundred sixty-eight million, eight hundred thousand, five hundred nine".