1001116613249 has 2 divisors, whose sum is σ = 1001116613250. Its totient is φ = 1001116613248.

The previous prime is 1001116613221. The next prime is 1001116613261. The reversal of 1001116613249 is 9423166111001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 947770396225 + 53346217024 = 973535^2 + 230968^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1001116613249 is a prime.

It is not a weakly prime, because it can be changed into another prime (1001116633249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500558306624 + 500558306625.

It is an arithmetic number, because the mean of its divisors is an integer number (500558306625).

Almost surely, 2^{1001116613249} is an apocalyptic number.

It is an amenable number.

1001116613249 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001116613249 is an equidigital number, since it uses as much as digits as its factorization.

1001116613249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 35.

The spelling of 1001116613249 in words is "one trillion, one billion, one hundred sixteen million, six hundred thirteen thousand, two hundred forty-nine".