11766580013 has 2 divisors, whose sum is σ = 11766580014. Its totient is φ = 11766580012.

The previous prime is 11766579967. The next prime is 11766580019. The reversal of 11766580013 is 31008566711.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11232184324 + 534395689 = 105982^2 + 23117^2 .

It is a cyclic number.

It is not a de Polignac number, because 11766580013 - 2¹⁸ = 11766317869 is a prime.

It is a super-3 number, since 3×11766580013³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11766580019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5883290006 + 5883290007.

It is an arithmetic number, because the mean of its divisors is an integer number (5883290007).

Almost surely, 2^11766580013 is an apocalyptic number.

It is an amenable number.

11766580013 is a deficient number, since it is larger than the sum of its proper divisors (1).

11766580013 is an equidigital number, since it uses as much as digits as its factorization.

11766580013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 30240, while the sum is 38.

The spelling of 11766580013 in words is "eleven billion, seven hundred sixty-six million, five hundred eighty thousand, thirteen".