165305013405 has 64 divisors (see below), whose sum is σ = 312177162240. Its totient is φ = 73114562304.

The previous prime is 165305013403. The next prime is 165305013409. The reversal of 165305013405 is 504310503561.

It is not a de Polignac number, because 165305013405 - 2¹ = 165305013403 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165305013403) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 576562 + ... + 814268.

It is an arithmetic number, because the mean of its divisors is an integer number (4877768160).

Almost surely, 2^165305013405 is an apocalyptic number.

165305013405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

165305013405 is a deficient number, since it is larger than the sum of its proper divisors (146872148835).

165305013405 is a wasteful number, since it uses less digits than its factorization.

165305013405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237938.

The product of its (nonzero) digits is 27000, while the sum is 33.

Adding to 165305013405 its reverse (504310503561), we get a palindrome (669615516966).

The spelling of 165305013405 in words is "one hundred sixty-five billion, three hundred five million, thirteen thousand, four hundred five".