1305376912993 has 2 divisors, whose sum is σ = 1305376912994. Its totient is φ = 1305376912992.

The previous prime is 1305376912981. The next prime is 1305376913039. The reversal of 1305376912993 is 3992196735031.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 818539991824 + 486836921169 = 904732^2 + 697737^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1305376912993 is a prime.

It is not a weakly prime, because it can be changed into another prime (1305376912393) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 652688456496 + 652688456497.

It is an arithmetic number, because the mean of its divisors is an integer number (652688456497).

Almost surely, 2^{1305376912993} is an apocalyptic number.

It is an amenable number.

1305376912993 is a deficient number, since it is larger than the sum of its proper divisors (1).

1305376912993 is an equidigital number, since it uses as much as digits as its factorization.

1305376912993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8266860, while the sum is 58.

The spelling of 1305376912993 in words is "one trillion, three hundred five billion, three hundred seventy-six million, nine hundred twelve thousand, nine hundred ninety-three".