65085704161 has 27 divisors (see below), whose sum is σ = 70988175801. Its totient is φ = 59661108864.

The previous prime is 65085704143. The next prime is 65085704171. The reversal of 65085704161 is 16140758056.

The square root of 65085704161 is 255119.

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 17143974225 + 47941729936 = 130935^2 + 218956^2 .

It is not a de Polignac number, because 65085704161 - 2²⁹ = 64548833249 is a prime.

It is a super-2 number, since 2×65085704161² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (65085704111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 186491815 + ... + 186492163.

Almost surely, 2^65085704161 is an apocalyptic number.

65085704161 is the 255119-th square number.

65085704161 is the 127560-th centered octagonal number.

It is an amenable number.

65085704161 is a deficient number, since it is larger than the sum of its proper divisors (5902471640).

65085704161 is an frugal number, since it uses more digits than its factorization.

65085704161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 43.

The spelling of 65085704161 in words is "sixty-five billion, eighty-five million, seven hundred four thousand, one hundred sixty-one".