165319059681 has 12 divisors (see below), whose sum is σ = 239109655252. Its totient is φ = 110067110496.

The previous prime is 165319059677. The next prime is 165319059701. The reversal of 165319059681 is 186950913561.

165319059681 is a `hidden beast` number, since 16 + 5 + 31 + 9 + 0 + 596 + 8 + 1 = 666.

165319059681 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 126706809681 + 38612250000 = 355959^2 + 196500^2 .

It is not a de Polignac number, because 165319059681 - 2² = 165319059677 is a prime.

It is a super-2 number, since 2×165319059681² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (165319059611) 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 11 ways as a sum of consecutive naturals, for example, 12125806 + ... + 12139431.

Almost surely, 2^165319059681 is an apocalyptic number.

It is an amenable number.

165319059681 is a deficient number, since it is larger than the sum of its proper divisors (73790595571).

165319059681 is a wasteful number, since it uses less digits than its factorization.

165319059681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24266000 (or 24265997 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 54.

The spelling of 165319059681 in words is "one hundred sixty-five billion, three hundred nineteen million, fifty-nine thousand, six hundred eighty-one".