1305616403017 has 2 divisors, whose sum is σ = 1305616403018. Its totient is φ = 1305616403016.

The previous prime is 1305616402963. The next prime is 1305616403071. The reversal of 1305616403017 is 7103046165031.

Together with next prime (1305616403071) it forms an Ormiston pair, because they use the same digits, order apart.

It is a balanced prime because it is at equal distance from previous prime (1305616402963) and next prime (1305616403071).

It can be written as a sum of positive squares in only one way, i.e., 1264509246016 + 41107157001 = 1124504^2 + 202749^2 .

It is a cyclic number.

It is not a de Polignac number, because 1305616403017 - 2¹⁵ = 1305616370249 is a prime.

It is not a weakly prime, because it can be changed into another prime (1305616503017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 652808201508 + 652808201509.

It is an arithmetic number, because the mean of its divisors is an integer number (652808201509).

Almost surely, 2^{1305616403017} is an apocalyptic number.

It is an amenable number.

1305616403017 is a deficient number, since it is larger than the sum of its proper divisors (1).

1305616403017 is an equidigital number, since it uses as much as digits as its factorization.

1305616403017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 45360, while the sum is 37.

The spelling of 1305616403017 in words is "one trillion, three hundred five billion, six hundred sixteen million, four hundred three thousand, seventeen".