12783356264513 has 2 divisors, whose sum is σ = 12783356264514. Its totient is φ = 12783356264512.

The previous prime is 12783356264447. The next prime is 12783356264533. The reversal of 12783356264513 is 31546265338721.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11861769704464 + 921586560049 = 3444092^2 + 959993^2 .

It is a cyclic number.

It is not a de Polignac number, because 12783356264513 - 2¹⁴ = 12783356248129 is a prime.

It is a super-2 number, since 2×12783356264513² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12783356264533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6391678132256 + 6391678132257.

It is an arithmetic number, because the mean of its divisors is an integer number (6391678132257).

Almost surely, 2^{12783356264513} is an apocalyptic number.

It is an amenable number.

12783356264513 is a deficient number, since it is larger than the sum of its proper divisors (1).

12783356264513 is an equidigital number, since it uses as much as digits as its factorization.

12783356264513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 21772800, while the sum is 56.

The spelling of 12783356264513 in words is "twelve trillion, seven hundred eighty-three billion, three hundred fifty-six million, two hundred sixty-four thousand, five hundred thirteen".