252041661312 has 256 divisors, whose sum is σ = 786965414400. Its totient is φ = 69973843968.

The previous prime is 252041661299. The next prime is 252041661337. The reversal of 252041661312 is 213166140252.

252041661312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×252041661312² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22764514 + ... + 22775582.

It is an arithmetic number, because the mean of its divisors is an integer number (3074083650).

Almost surely, 2^252041661312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252041661312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393482707200).

252041661312 is an abundant number, since it is smaller than the sum of its proper divisors (534923753088).

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

252041661312 is a wasteful number, since it uses less digits than its factorization.

252041661312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11333 (or 11321 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 252041661312 in words is "two hundred fifty-two billion, forty-one million, six hundred sixty-one thousand, three hundred twelve".