252005166 has 96 divisors (see below), whose sum is σ = 642470400. Its totient is φ = 69906240.

The previous prime is 252005153. The next prime is 252005167. The reversal of 252005166 is 661500252.

252005166 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

252005166 is a modest number, since divided by 5166 gives 2520 as remainder.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252005167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 810151 + ... + 810461.

It is an arithmetic number, because the mean of its divisors is an integer number (6692400).

Almost surely, 2^252005166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252005166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321235200).

252005166 is an abundant number, since it is smaller than the sum of its proper divisors (390465234).

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

252005166 is a wasteful number, since it uses less digits than its factorization.

252005166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 252005166 is about 15874.6705792593. The cubic root of 252005166 is about 631.6402759152.

The spelling of 252005166 in words is "two hundred fifty-two million, five thousand, one hundred sixty-six".