1006114231349 has 2 divisors, whose sum is σ = 1006114231350. Its totient is φ = 1006114231348.

The previous prime is 1006114231289. The next prime is 1006114231477. The reversal of 1006114231349 is 9431324116001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 907602993124 + 98511238225 = 952682^2 + 313865^2 .

It is an emirp because it is prime and its reverse (9431324116001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1006114231349 - 2²⁰ = 1006113182773 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1006114261349) 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, 503057115674 + 503057115675.

It is an arithmetic number, because the mean of its divisors is an integer number (503057115675).

Almost surely, 2^{1006114231349} is an apocalyptic number.

It is an amenable number.

1006114231349 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006114231349 is an equidigital number, since it uses as much as digits as its factorization.

1006114231349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15552, while the sum is 35.

The spelling of 1006114231349 in words is "one trillion, six billion, one hundred fourteen million, two hundred thirty-one thousand, three hundred forty-nine".