1006834756241 has 2 divisors, whose sum is σ = 1006834756242. Its totient is φ = 1006834756240.

The previous prime is 1006834756189. The next prime is 1006834756243. The reversal of 1006834756241 is 1426574386001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 730006195216 + 276828561025 = 854404^2 + 526145^2 .

It is a cyclic number.

It is not a de Polignac number, because 1006834756241 - 2⁶ = 1006834756177 is a prime.

Together with 1006834756243, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1006834756243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503417378120 + 503417378121.

It is an arithmetic number, because the mean of its divisors is an integer number (503417378121).

Almost surely, 2^{1006834756241} is an apocalyptic number.

It is an amenable number.

1006834756241 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006834756241 is an equidigital number, since it uses as much as digits as its factorization.

1006834756241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 967680, while the sum is 47.

The spelling of 1006834756241 in words is "one trillion, six billion, eight hundred thirty-four million, seven hundred fifty-six thousand, two hundred forty-one".