4252129056 has 216 divisors, whose sum is σ = 14307405840. Its totient is φ = 1194068736.

The previous prime is 4252128953. The next prime is 4252129109. The reversal of 4252129056 is 6509212524.

4252129056 is a `hidden beast` number, since 42 + 521 + 2 + 90 + 5 + 6 = 666.

It is a super-2 number, since 2×4252129056² = 36161203017758902272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4252129056.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 830055 + ... + 835161.

It is an arithmetic number, because the mean of its divisors is an integer number (66237990).

Almost surely, 2^4252129056 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 4252129056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7153702920).

4252129056 is an abundant number, since it is smaller than the sum of its proper divisors (10055276784).

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

4252129056 is a wasteful number, since it uses less digits than its factorization.

4252129056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5196 (or 5178 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 4252129056 is about 65208.3511216163. The cubic root of 4252129056 is about 1620.0763384237.

The spelling of 4252129056 in words is "four billion, two hundred fifty-two million, one hundred twenty-nine thousand, fifty-six".