1116001961 has 2 divisors, whose sum is σ = 1116001962. Its totient is φ = 1116001960.

The previous prime is 1116001903. The next prime is 1116001963. The reversal of 1116001961 is 1691006111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 658897561 + 457104400 = 25669^2 + 21380^2 .

It is an emirp because it is prime and its reverse (1691006111) is a distict prime. It is also a bemirp because it and its reverse can be mirrored producing other two distinct primes, 1961009111 and 1119001691.

It is a cyclic number.

It is not a de Polignac number, because 1116001961 - 2¹⁰ = 1116000937 is a prime.

Together with 1116001963, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1116001961.

It is not a weakly prime, because it can be changed into another prime (1116001963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 558000980 + 558000981.

It is an arithmetic number, because the mean of its divisors is an integer number (558000981).

Almost surely, 2^1116001961 is an apocalyptic number.

It is an amenable number.

1116001961 is a deficient number, since it is larger than the sum of its proper divisors (1).

1116001961 is an equidigital number, since it uses as much as digits as its factorization.

1116001961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 26.

The square root of 1116001961 is about 33406.6155274670. The cubic root of 1116001961 is about 1037.2616450753.

The spelling of 1116001961 in words is "one billion, one hundred sixteen million, one thousand, nine hundred sixty-one".