252789966 has 192 divisors, whose sum is σ = 700539840. Its totient is φ = 64696320.

The previous prime is 252789947. The next prime is 252789989. The reversal of 252789966 is 669987252.

252789966 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2319120 + ... + 2319228.

It is an arithmetic number, because the mean of its divisors is an integer number (3648645).

Almost surely, 2^252789966 is an apocalyptic number.

252789966 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 252789966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350269920).

252789966 is an abundant number, since it is smaller than the sum of its proper divisors (447749874).

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

252789966 is a wasteful number, since it uses less digits than its factorization.

252789966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 208 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 252789966 is about 15899.3699875184. The cubic root of 252789966 is about 632.2952857574.

The spelling of 252789966 in words is "two hundred fifty-two million, seven hundred eighty-nine thousand, nine hundred sixty-six".