85506135905 has 16 divisors (see below), whose sum is σ = 107196512400. Its totient is φ = 65392185600.

The previous prime is 85506135881. The next prime is 85506135937. The reversal of 85506135905 is 50953160558.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 10118549281 + 75387586624 = 100591^2 + 274568^2 .

It is not a de Polignac number, because 85506135905 - 2¹⁰ = 85506134881 is a prime.

It is a super-2 number, since 2×85506135905² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 85506135905.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2904650 + ... + 2933939.

It is an arithmetic number, because the mean of its divisors is an integer number (6699782025).

Almost surely, 2^85506135905 is an apocalyptic number.

It is an amenable number.

85506135905 is a deficient number, since it is larger than the sum of its proper divisors (21690376495).

85506135905 is a wasteful number, since it uses less digits than its factorization.

85506135905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5838724.

The product of its (nonzero) digits is 810000, while the sum is 47.

The spelling of 85506135905 in words is "eighty-five billion, five hundred six million, one hundred thirty-five thousand, nine hundred five".