21611177412017 has 2 divisors, whose sum is σ = 21611177412018. Its totient is φ = 21611177412016.

The previous prime is 21611177412007. The next prime is 21611177412067. The reversal of 21611177412017 is 71021477111612.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21079934681521 + 531242730496 = 4591289^2 + 728864^2 .

It is a cyclic number.

It is not a de Polignac number, because 21611177412017 - 2⁶ = 21611177411953 is a prime.

It is not a weakly prime, because it can be changed into another prime (21611177412007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10805588706008 + 10805588706009.

It is an arithmetic number, because the mean of its divisors is an integer number (10805588706009).

Almost surely, 2^{21611177412017} is an apocalyptic number.

It is an amenable number.

21611177412017 is a deficient number, since it is larger than the sum of its proper divisors (1).

21611177412017 is an equidigital number, since it uses as much as digits as its factorization.

21611177412017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32928, while the sum is 41.

The spelling of 21611177412017 in words is "twenty-one trillion, six hundred eleven billion, one hundred seventy-seven million, four hundred twelve thousand, seventeen".