111255333334961 has 2 divisors, whose sum is σ = 111255333334962. Its totient is φ = 111255333334960.

The previous prime is 111255333334921. The next prime is 111255333334997. The reversal of 111255333334961 is 169433333552111.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87378672694336 + 23876660640625 = 9347656^2 + 4886375^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-111255333334961 is a prime.

It is not a weakly prime, because it can be changed into another prime (111255333334921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55627666667480 + 55627666667481.

It is an arithmetic number, because the mean of its divisors is an integer number (55627666667481).

Almost surely, 2^{111255333334961} is an apocalyptic number.

It is an amenable number.

111255333334961 is a deficient number, since it is larger than the sum of its proper divisors (1).

111255333334961 is an equidigital number, since it uses as much as digits as its factorization.

111255333334961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2624400, while the sum is 50.

The spelling of 111255333334961 in words is "one hundred eleven trillion, two hundred fifty-five billion, three hundred thirty-three million, three hundred thirty-four thousand, nine hundred sixty-one".