165251016 has 160 divisors (see below), whose sum is σ = 560355840. Its totient is φ = 44416512.

The previous prime is 165250997. The next prime is 165251027. The reversal of 165251016 is 610152561.

It is a happy number.

165251016 is a `hidden beast` number, since 1 + 652 + 5 + 1 + 0 + 1 + 6 = 666.

165251016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 76041 + ... + 78183.

It is an arithmetic number, because the mean of its divisors is an integer number (3502224).

Almost surely, 2^165251016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165251016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280177920).

165251016 is an abundant number, since it is smaller than the sum of its proper divisors (395104824).

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

165251016 is a wasteful number, since it uses less digits than its factorization.

165251016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2185 (or 2172 counting only the distinct ones).

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

The square root of 165251016 is about 12854.9996499417. Note that the first 3 decimals coincide. The cubic root of 165251016 is about 548.7586505210.

The spelling of 165251016 in words is "one hundred sixty-five million, two hundred fifty-one thousand, sixteen".