1268783635409 has 2 divisors, whose sum is σ = 1268783635410. Its totient is φ = 1268783635408.

The previous prime is 1268783635373. The next prime is 1268783635421. The reversal of 1268783635409 is 9045363878621.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 716841622225 + 551942013184 = 846665^2 + 742928^2 .

It is a cyclic number.

It is not a de Polignac number, because 1268783635409 - 2⁸ = 1268783635153 is a prime.

It is not a weakly prime, because it can be changed into another prime (1268783635709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 634391817704 + 634391817705.

It is an arithmetic number, because the mean of its divisors is an integer number (634391817705).

It is a 1-persistent number, because it is pandigital, but 2⋅1268783635409 = 2537567270818 is not.

Almost surely, 2^{1268783635409} is an apocalyptic number.

It is an amenable number.

1268783635409 is a deficient number, since it is larger than the sum of its proper divisors (1).

1268783635409 is an equidigital number, since it uses as much as digits as its factorization.

1268783635409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 52254720, while the sum is 62.

The spelling of 1268783635409 in words is "one trillion, two hundred sixty-eight billion, seven hundred eighty-three million, six hundred thirty-five thousand, four hundred nine".