252105165 has 24 divisors (see below), whose sum is σ = 470597400. Its totient is φ = 124113024.

The previous prime is 252105163. The next prime is 252105181. The reversal of 252105165 is 561501252.

It can be written as a sum of positive squares in 4 ways, for example, as 4137156 + 247968009 = 2034^2 + 15747^2 .

It is not a de Polignac number, because 252105165 - 2¹ = 252105163 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252105163) 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, 214890 + ... + 216059.

It is an arithmetic number, because the mean of its divisors is an integer number (19608225).

Almost surely, 2^252105165 is an apocalyptic number.

It is an amenable number.

252105165 is a deficient number, since it is larger than the sum of its proper divisors (218492235).

252105165 is a wasteful number, since it uses less digits than its factorization.

252105165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430973 (or 430970 counting only the distinct ones).

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

The square root of 252105165 is about 15877.8199070275. The cubic root of 252105165 is about 631.7238126195.

The spelling of 252105165 in words is "two hundred fifty-two million, one hundred five thousand, one hundred sixty-five".