1305512051329 has 2 divisors, whose sum is σ = 1305512051330. Its totient is φ = 1305512051328.

The previous prime is 1305512051303. The next prime is 1305512051353. The reversal of 1305512051329 is 9231502155031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 827277564304 + 478234487025 = 909548^2 + 691545^2 .

It is a cyclic number.

It is not a de Polignac number, because 1305512051329 - 2⁷ = 1305512051201 is a prime.

It is not a weakly prime, because it can be changed into another prime (1305512051359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 652756025664 + 652756025665.

It is an arithmetic number, because the mean of its divisors is an integer number (652756025665).

Almost surely, 2^{1305512051329} is an apocalyptic number.

It is an amenable number.

1305512051329 is a deficient number, since it is larger than the sum of its proper divisors (1).

1305512051329 is an equidigital number, since it uses as much as digits as its factorization.

1305512051329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40500, while the sum is 37.

The spelling of 1305512051329 in words is "one trillion, three hundred five billion, five hundred twelve million, fifty-one thousand, three hundred twenty-nine".