165116052 has 72 divisors (see below), whose sum is σ = 432844776. Its totient is φ = 53028864.

The previous prime is 165116047. The next prime is 165116059. The reversal of 165116052 is 250611561.

It is a happy number.

165116052 is a `hidden beast` number, since 1 + 6 + 51 + 1 + 605 + 2 = 666.

165116052 is digitally balanced in base 3, 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 4 ways, for example, as 5447556 + 159668496 = 2334^2 + 12636^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165116059) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149968 + ... + 151064.

It is an arithmetic number, because the mean of its divisors is an integer number (6011733).

Almost surely, 2^165116052 is an apocalyptic number.

165116052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165116052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216422388).

165116052 is an abundant number, since it is smaller than the sum of its proper divisors (267728724).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

165116052 is a wasteful number, since it uses less digits than its factorization.

165116052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 165116052 is about 12849.7491026090. The cubic root of 165116052 is about 548.6092155658.

The spelling of 165116052 in words is "one hundred sixty-five million, one hundred sixteen thousand, fifty-two".