268509601 has 2 divisors, whose sum is σ = 268509602. Its totient is φ = 268509600.

The previous prime is 268509581. The next prime is 268509671. The reversal of 268509601 is 106905862.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 165791376 + 102718225 = 12876^2 + 10135^2 .

It is a cyclic number.

It is not a de Polignac number, because 268509601 - 2¹¹ = 268507553 is a prime.

It is equal to p_14634694 and since 268509601 and 14634694 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (268509671) 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, 134254800 + 134254801.

It is an arithmetic number, because the mean of its divisors is an integer number (134254801).

Almost surely, 2^268509601 is an apocalyptic number.

It is an amenable number.

268509601 is a deficient number, since it is larger than the sum of its proper divisors (1).

268509601 is an equidigital number, since it uses as much as digits as its factorization.

268509601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 268509601 is about 16386.2625696038. The cubic root of 268509601 is about 645.1389649100.

The spelling of 268509601 in words is "two hundred sixty-eight million, five hundred nine thousand, six hundred one".