13188536856461 has 2 divisors, whose sum is σ = 13188536856462. Its totient is φ = 13188536856460.

The previous prime is 13188536856389. The next prime is 13188536856487. The reversal of 13188536856461 is 16465863588131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11913231918025 + 1275304938436 = 3451555^2 + 1129294^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13188536856461 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13188536853461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6594268428230 + 6594268428231.

It is an arithmetic number, because the mean of its divisors is an integer number (6594268428231).

Almost surely, 2^{13188536856461} is an apocalyptic number.

It is an amenable number.

13188536856461 is a deficient number, since it is larger than the sum of its proper divisors (1).

13188536856461 is an equidigital number, since it uses as much as digits as its factorization.

13188536856461 is an evil number, because the sum of its binary digits is even.

The product of its digits is 99532800, while the sum is 65.

The spelling of 13188536856461 in words is "thirteen trillion, one hundred eighty-eight billion, five hundred thirty-six million, eight hundred fifty-six thousand, four hundred sixty-one".