1305616400609 has 2 divisors, whose sum is σ = 1305616400610. Its totient is φ = 1305616400608.

The previous prime is 1305616400537. The next prime is 1305616400659. The reversal of 1305616400609 is 9060046165031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1296644522209 + 8971878400 = 1138703^2 + 94720^2 .

It is an emirp because it is prime and its reverse (9060046165031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1305616400609 - 2⁴⁰ = 206104772833 is a prime.

It is not a weakly prime, because it can be changed into another prime (1305616400659) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 652808200304 + 652808200305.

It is an arithmetic number, because the mean of its divisors is an integer number (652808200305).

Almost surely, 2^{1305616400609} is an apocalyptic number.

It is an amenable number.

1305616400609 is a deficient number, since it is larger than the sum of its proper divisors (1).

1305616400609 is an equidigital number, since it uses as much as digits as its factorization.

1305616400609 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 116640, while the sum is 41.

The spelling of 1305616400609 in words is "one trillion, three hundred five billion, six hundred sixteen million, four hundred thousand, six hundred nine".