165510252 has 36 divisors (see below), whose sum is σ = 419052816. Its totient is φ = 55080480.

The previous prime is 165510251. The next prime is 165510253. The reversal of 165510252 is 252015561.

165510252 is a `hidden beast` number, since 1 + 655 + 1 + 0 + 2 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (165510251) and next prime (165510253).

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (165510251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20977 + ... + 27767.

It is an arithmetic number, because the mean of its divisors is an integer number (11640356).

Almost surely, 2^165510252 is an apocalyptic number.

165510252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

165510252 is an abundant number, since it is smaller than the sum of its proper divisors (253542564).

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

165510252 is a wasteful number, since it uses less digits than its factorization.

165510252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7478 (or 7473 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 165510252 is about 12865.0787793935. The cubic root of 165510252 is about 549.0454539491.

The spelling of 165510252 in words is "one hundred sixty-five million, five hundred ten thousand, two hundred fifty-two".