252006006 has 128 divisors (see below), whose sum is σ = 639959040. Its totient is φ = 64540800.

The previous prime is 252005989. The next prime is 252006017. The reversal of 252006006 is 600600252.

It is a Harshad number since it is a multiple of its sum of digits (21).

252006006 is a modest number, since divided by 6006 gives 252 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1508935 + ... + 1509101.

It is an arithmetic number, because the mean of its divisors is an integer number (4999680).

Almost surely, 2^252006006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252006006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319979520).

252006006 is an abundant number, since it is smaller than the sum of its proper divisors (387953034).

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

252006006 is a wasteful number, since it uses less digits than its factorization.

252006006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 252006006 is about 15874.6970364792. The cubic root of 252006006 is about 631.6409777226.

Adding to 252006006 its reverse (600600252), we get a palindrome (852606258).

The spelling of 252006006 in words is "two hundred fifty-two million, six thousand, six".