85867638024593 has 2 divisors, whose sum is σ = 85867638024594. Its totient is φ = 85867638024592.

The previous prime is 85867638024559. The next prime is 85867638024613. The reversal of 85867638024593 is 39542083676858.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 50461246617664 + 35406391406929 = 7103608^2 + 5950327^2 .

It is a cyclic number.

It is not a de Polignac number, because 85867638024593 - 2¹⁶ = 85867637959057 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 85867638024593.

It is not a weakly prime, because it can be changed into another prime (85867638084593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42933819012296 + 42933819012297.

It is an arithmetic number, because the mean of its divisors is an integer number (42933819012297).

Almost surely, 2^{85867638024593} is an apocalyptic number.

It is an amenable number.

85867638024593 is a deficient number, since it is larger than the sum of its proper divisors (1).

85867638024593 is an equidigital number, since it uses as much as digits as its factorization.

85867638024593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2090188800, while the sum is 74.

The spelling of 85867638024593 in words is "eighty-five trillion, eight hundred sixty-seven billion, six hundred thirty-eight million, twenty-four thousand, five hundred ninety-three".