1008116173 has 2 divisors, whose sum is σ = 1008116174. Its totient is φ = 1008116172.

The previous prime is 1008116147. The next prime is 1008116189. The reversal of 1008116173 is 3716118001.

1008116173 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 582643044 + 425473129 = 24138^2 + 20627^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1008116173 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1008116143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 504058086 + 504058087.

It is an arithmetic number, because the mean of its divisors is an integer number (504058087).

Almost surely, 2^1008116173 is an apocalyptic number.

It is an amenable number.

1008116173 is a deficient number, since it is larger than the sum of its proper divisors (1).

1008116173 is an equidigital number, since it uses as much as digits as its factorization.

1008116173 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 28.

The square root of 1008116173 is about 31750.8452328438. The cubic root of 1008116173 is about 1002.6981046839.

The spelling of 1008116173 in words is "one billion, eight million, one hundred sixteen thousand, one hundred seventy-three".