1006114261349 has 2 divisors, whose sum is σ = 1006114261350. Its totient is φ = 1006114261348.

The previous prime is 1006114261279. The next prime is 1006114261367. The reversal of 1006114261349 is 9431624116001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 755844188449 + 250270072900 = 869393^2 + 500270^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1006114261349 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1006114261049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503057130674 + 503057130675.

It is an arithmetic number, because the mean of its divisors is an integer number (503057130675).

Almost surely, 2^{1006114261349} is an apocalyptic number.

It is an amenable number.

1006114261349 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006114261349 is an equidigital number, since it uses as much as digits as its factorization.

1006114261349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31104, while the sum is 38.

The spelling of 1006114261349 in words is "one trillion, six billion, one hundred fourteen million, two hundred sixty-one thousand, three hundred forty-nine".