165013434351 has 48 divisors (see below), whose sum is σ = 247588705728. Its totient is φ = 105831936000.

The previous prime is 165013434349. The next prime is 165013434359. The reversal of 165013434351 is 153434310561.

165013434351 is a `hidden beast` number, since 165 + 0 + 13 + 434 + 3 + 51 = 666.

It is not a de Polignac number, because 165013434351 - 2¹ = 165013434349 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165013434359) 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 47 ways as a sum of consecutive naturals, for example, 7622695 + ... + 7644311.

It is an arithmetic number, because the mean of its divisors is an integer number (5158098036).

Almost surely, 2^165013434351 is an apocalyptic number.

165013434351 is a deficient number, since it is larger than the sum of its proper divisors (82575271377).

165013434351 is a wasteful number, since it uses less digits than its factorization.

165013434351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21952 (or 21949 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 165013434351 in words is "one hundred sixty-five billion, thirteen million, four hundred thirty-four thousand, three hundred fifty-one".