85908196201 has 9 divisors (see below), whose sum is σ = 86735831301. Its totient is φ = 85088392704.

The previous prime is 85908196193. The next prime is 85908196207. The reversal of 85908196201 is 10269180958.

The square root of 85908196201 is 293101.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 12521386201 + 73386810000 = 111899^2 + 270900^2 .

It is not a de Polignac number, because 85908196201 - 2³ = 85908196193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85908196207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 31946665 + ... + 31949353.

It is an arithmetic number, because the mean of its divisors is an integer number (9637314589).

Almost surely, 2^85908196201 is an apocalyptic number.

85908196201 is the 293101-st square number.

85908196201 is the 146551-st centered octagonal number.

It is an amenable number.

85908196201 is a deficient number, since it is larger than the sum of its proper divisors (827635100).

85908196201 is an frugal number, since it uses more digits than its factorization.

85908196201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5596 (or 2798 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 49.

Multiplying 85908196201 by its sum of digits (49), we get a square (4209501613849 = 2051707²).

The spelling of 85908196201 in words is "eighty-five billion, nine hundred eight million, one hundred ninety-six thousand, two hundred one".