165085307577 has 40 divisors (see below), whose sum is σ = 256237344000. Its totient is φ = 105793351776.

The previous prime is 165085307561. The next prime is 165085307579. The reversal of 165085307577 is 775703580561.

165085307577 is a `hidden beast` number, since 1 + 6 + 50 + 8 + 530 + 7 + 57 + 7 = 666.

It is not a de Polignac number, because 165085307577 - 2⁴ = 165085307561 is a prime.

It is a super-2 number, since 2×165085307577² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (165085307579) 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 in 39 ways as a sum of consecutive naturals, for example, 378424 + ... + 688022.

It is an arithmetic number, because the mean of its divisors is an integer number (6405933600).

Almost surely, 2^165085307577 is an apocalyptic number.

It is an amenable number.

165085307577 is a deficient number, since it is larger than the sum of its proper divisors (91152036423).

165085307577 is a wasteful number, since it uses less digits than its factorization.

165085307577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309867 (or 309858 counting only the distinct ones).

The product of its (nonzero) digits is 6174000, while the sum is 54.

The spelling of 165085307577 in words is "one hundred sixty-five billion, eighty-five million, three hundred seven thousand, five hundred seventy-seven".