1609117077017 has 2 divisors, whose sum is σ = 1609117077018. Its totient is φ = 1609117077016.

The previous prime is 1609117076977. The next prime is 1609117077031. The reversal of 1609117077017 is 7107707119061.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1139633111296 + 469483965721 = 1067536^2 + 685189^2 .

It is a cyclic number.

It is not a de Polignac number, because 1609117077017 - 2¹⁴ = 1609117060633 is a prime.

It is not a weakly prime, because it can be changed into another prime (1609117077037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 804558538508 + 804558538509.

It is an arithmetic number, because the mean of its divisors is an integer number (804558538509).

Almost surely, 2^{1609117077017} is an apocalyptic number.

It is an amenable number.

1609117077017 is a deficient number, since it is larger than the sum of its proper divisors (1).

1609117077017 is an equidigital number, since it uses as much as digits as its factorization.

1609117077017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 129654, while the sum is 47.

The spelling of 1609117077017 in words is "one trillion, six hundred nine billion, one hundred seventeen million, seventy-seven thousand, seventeen".