2011741817 has 2 divisors, whose sum is σ = 2011741818. Its totient is φ = 2011741816.

The previous prime is 2011741789. The next prime is 2011741819. The reversal of 2011741817 is 7181471102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1195154041 + 816587776 = 34571^2 + 28576^2 .

It is a cyclic number.

It is not a de Polignac number, because 2011741817 - 2¹⁴ = 2011725433 is a prime.

It is a super-3 number, since 3×2011741817³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 2011741819, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2011741819) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005870908 + 1005870909.

It is an arithmetic number, because the mean of its divisors is an integer number (1005870909).

Almost surely, 2^2011741817 is an apocalyptic number.

It is an amenable number.

2011741817 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011741817 is an equidigital number, since it uses as much as digits as its factorization.

2011741817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3136, while the sum is 32.

The square root of 2011741817 is about 44852.4449389328. Note that the first 3 decimals coincide. The cubic root of 2011741817 is about 1262.3818674814.

The spelling of 2011741817 in words is "two billion, eleven million, seven hundred forty-one thousand, eight hundred seventeen".