1008116161 has 8 divisors (see below), whose sum is σ = 1085918400. Its totient is φ = 930350352.

The previous prime is 1008116147. The next prime is 1008116173. The reversal of 1008116161 is 1616118001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1008116161 - 2⁷ = 1008116033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1008116191) 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 in 7 ways as a sum of consecutive naturals, for example, 82740 + ... + 94138.

It is an arithmetic number, because the mean of its divisors is an integer number (135739800).

Almost surely, 2^1008116161 is an apocalyptic number.

It is an amenable number.

1008116161 is a deficient number, since it is larger than the sum of its proper divisors (77802239).

1008116161 is a wasteful number, since it uses less digits than its factorization.

1008116161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18215.

The product of its (nonzero) digits is 288, while the sum is 25.

The square root of 1008116161 is about 31750.8450438725. The cubic root of 1008116161 is about 1002.6981007054.

The spelling of 1008116161 in words is "one billion, eight million, one hundred sixteen thousand, one hundred sixty-one".