1305315101509 has 2 divisors, whose sum is σ = 1305315101510. Its totient is φ = 1305315101508.

The previous prime is 1305315101491. The next prime is 1305315101621. The reversal of 1305315101509 is 9051015135031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1250713432609 + 54601668900 = 1118353^2 + 233670^2 .

It is a cyclic number.

It is not a de Polignac number, because 1305315101509 - 2⁹ = 1305315100997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1305315701509) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 652657550754 + 652657550755.

It is an arithmetic number, because the mean of its divisors is an integer number (652657550755).

Almost surely, 2^{1305315101509} is an apocalyptic number.

It is an amenable number.

1305315101509 is a deficient number, since it is larger than the sum of its proper divisors (1).

1305315101509 is an equidigital number, since it uses as much as digits as its factorization.

1305315101509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10125, while the sum is 34.

The spelling of 1305315101509 in words is "one trillion, three hundred five billion, three hundred fifteen million, one hundred one thousand, five hundred nine".