87671670017713 has 2 divisors, whose sum is σ = 87671670017714. Its totient is φ = 87671670017712.

The previous prime is 87671670017693. The next prime is 87671670017717. The reversal of 87671670017713 is 31771007617678.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63423018316449 + 24248651701264 = 7963857^2 + 4924292^2 .

It is a cyclic number.

It is not a de Polignac number, because 87671670017713 - 2⁴⁵ = 52487297928881 is a prime.

It is not a weakly prime, because it can be changed into another prime (87671670017717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 43835835008856 + 43835835008857.

It is an arithmetic number, because the mean of its divisors is an integer number (43835835008857).

Almost surely, 2^{87671670017713} is an apocalyptic number.

It is an amenable number.

87671670017713 is a deficient number, since it is larger than the sum of its proper divisors (1).

87671670017713 is an equidigital number, since it uses as much as digits as its factorization.

87671670017713 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14521248, while the sum is 61.

The spelling of 87671670017713 in words is "eighty-seven trillion, six hundred seventy-one billion, six hundred seventy million, seventeen thousand, seven hundred thirteen".