1005006165161 has 2 divisors, whose sum is σ = 1005006165162. Its totient is φ = 1005006165160.

The previous prime is 1005006165091. The next prime is 1005006165179. The reversal of 1005006165161 is 1615616005001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 997531525225 + 7474639936 = 998765^2 + 86456^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005006165161 - 2²² = 1005001970857 is a prime.

It is not a weakly prime, because it can be changed into another prime (1005006161161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502503082580 + 502503082581.

It is an arithmetic number, because the mean of its divisors is an integer number (502503082581).

Almost surely, 2^{1005006165161} is an apocalyptic number.

It is an amenable number.

1005006165161 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005006165161 is an equidigital number, since it uses as much as digits as its factorization.

1005006165161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5400, while the sum is 32.

The spelling of 1005006165161 in words is "one trillion, five billion, six million, one hundred sixty-five thousand, one hundred sixty-one".