86627131057 has 2 divisors, whose sum is σ = 86627131058. Its totient is φ = 86627131056.

The previous prime is 86627131037. The next prime is 86627131109. The reversal of 86627131057 is 75013172668.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55114135696 + 31512995361 = 234764^2 + 177519^2 .

It is a cyclic number.

It is not a de Polignac number, because 86627131057 - 2⁷ = 86627130929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 86627130998 and 86627131016.

It is not a weakly prime, because it can be changed into another prime (86627131037) 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, 43313565528 + 43313565529.

It is an arithmetic number, because the mean of its divisors is an integer number (43313565529).

Almost surely, 2^86627131057 is an apocalyptic number.

It is an amenable number.

86627131057 is a deficient number, since it is larger than the sum of its proper divisors (1).

86627131057 is an equidigital number, since it uses as much as digits as its factorization.

86627131057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 423360, while the sum is 46.

The spelling of 86627131057 in words is "eighty-six billion, six hundred twenty-seven million, one hundred thirty-one thousand, fifty-seven".