1006834756289 has 2 divisors, whose sum is σ = 1006834756290. Its totient is φ = 1006834756288.

The previous prime is 1006834756273. The next prime is 1006834756331. The reversal of 1006834756289 is 9826574386001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 582230041600 + 424604714689 = 763040^2 + 651617^2 .

It is a cyclic number.

It is not a de Polignac number, because 1006834756289 - 2⁴ = 1006834756273 is a prime.

It is not a weakly prime, because it can be changed into another prime (1006834756189) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503417378144 + 503417378145.

It is an arithmetic number, because the mean of its divisors is an integer number (503417378145).

It is a 1-persistent number, because it is pandigital, but 2⋅1006834756289 = 2013669512578 is not.

Almost surely, 2^{1006834756289} is an apocalyptic number.

It is an amenable number.

1006834756289 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006834756289 is an equidigital number, since it uses as much as digits as its factorization.

1006834756289 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 17418240, while the sum is 59.

The spelling of 1006834756289 in words is "one trillion, six billion, eight hundred thirty-four million, seven hundred fifty-six thousand, two hundred eighty-nine".