165314413561 has 8 divisors (see below), whose sum is σ = 180369743904. Its totient is φ = 150263541120.

The previous prime is 165314413543. The next prime is 165314413597.

It is a happy number.

165314413561 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 165314413561 - 2¹⁷ = 165314282489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (165314413361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1036696 + ... + 1185481.

It is an arithmetic number, because the mean of its divisors is an integer number (22546217988).

Almost surely, 2^165314413561 is an apocalyptic number.

165314413561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

165314413561 is a deficient number, since it is larger than the sum of its proper divisors (15055330343).

165314413561 is a wasteful number, since it uses less digits than its factorization.

165314413561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2228951.

The product of its digits is 129600, while the sum is 40.

It can be divided in two parts, 165314 and 413561, that added together give a palindrome (578875).

The spelling of 165314413561 in words is "one hundred sixty-five billion, three hundred fourteen million, four hundred thirteen thousand, five hundred sixty-one".