1006161207017 has 2 divisors, whose sum is σ = 1006161207018. Its totient is φ = 1006161207016.

The previous prime is 1006161207013. The next prime is 1006161207067. The reversal of 1006161207017 is 7107021616001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1003020277081 + 3140929936 = 1001509^2 + 56044^2 .

It is an emirp because it is prime and its reverse (7107021616001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1006161207017 - 2² = 1006161207013 is a prime.

It is not a weakly prime, because it can be changed into another prime (1006161207013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503080603508 + 503080603509.

It is an arithmetic number, because the mean of its divisors is an integer number (503080603509).

Almost surely, 2^{1006161207017} is an apocalyptic number.

It is an amenable number.

1006161207017 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006161207017 is an equidigital number, since it uses as much as digits as its factorization.

1006161207017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3528, while the sum is 32.

The spelling of 1006161207017 in words is "one trillion, six billion, one hundred sixty-one million, two hundred seven thousand, seventeen".