11586540013 has 2 divisors, whose sum is σ = 11586540014. Its totient is φ = 11586540012.

The previous prime is 11586539971. The next prime is 11586540023. The reversal of 11586540013 is 31004568511.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9559559529 + 2026980484 = 97773^2 + 45022^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11586540013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11586540023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5793270006 + 5793270007.

It is an arithmetic number, because the mean of its divisors is an integer number (5793270007).

Almost surely, 2^11586540013 is an apocalyptic number.

It is an amenable number.

11586540013 is a deficient number, since it is larger than the sum of its proper divisors (1).

11586540013 is an equidigital number, since it uses as much as digits as its factorization.

11586540013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14400, while the sum is 34.

The spelling of 11586540013 in words is "eleven billion, five hundred eighty-six million, five hundred forty thousand, thirteen".