1005116161 has 16 divisors (see below), whose sum is σ = 1155772800. Its totient is φ = 856247040.

The previous prime is 1005116159. The next prime is 1005116171. The reversal of 1005116161 is 1616115001.

It is a cyclic number.

It is not a de Polignac number, because 1005116161 - 2¹ = 1005116159 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1005116171) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1140441 + ... + 1141321.

It is an arithmetic number, because the mean of its divisors is an integer number (72235800).

Almost surely, 2^1005116161 is an apocalyptic number.

It is an amenable number.

1005116161 is a deficient number, since it is larger than the sum of its proper divisors (150656639).

1005116161 is an equidigital number, since it uses as much as digits as its factorization.

1005116161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1704.

The product of its (nonzero) digits is 180, while the sum is 22.

The square root of 1005116161 is about 31703.5670075151. The cubic root of 1005116161 is about 1001.7024868935.

The spelling of 1005116161 in words is "one billion, five million, one hundred sixteen thousand, one hundred sixty-one".