268506401 has 2 divisors, whose sum is σ = 268506402. Its totient is φ = 268506400.

The previous prime is 268506397. The next prime is 268506421. The reversal of 268506401 is 104605862.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 259210000 + 9296401 = 16100^2 + 3049^2 .

It is a cyclic number.

It is not a de Polignac number, because 268506401 - 2² = 268506397 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (268506421) 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 as a sum of consecutive naturals, namely, 134253200 + 134253201.

It is an arithmetic number, because the mean of its divisors is an integer number (134253201).

Almost surely, 2^268506401 is an apocalyptic number.

It is an amenable number.

268506401 is a deficient number, since it is larger than the sum of its proper divisors (1).

268506401 is an equidigital number, since it uses as much as digits as its factorization.

268506401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 268506401 is about 16386.1649265470. The cubic root of 268506401 is about 645.1364020558.

The spelling of 268506401 in words is "two hundred sixty-eight million, five hundred six thousand, four hundred one".