4252759056 has 720 divisors, whose sum is σ = 16508943360. Its totient is φ = 992839680.

The previous prime is 4252759051. The next prime is 4252759057. The reversal of 4252759056 is 6509572524.

4252759056 is a `hidden beast` number, since 4 + 2 + 5 + 2 + 7 + 590 + 56 = 666.

It is a super-2 number, since 2×4252759056² = 36171919176780022272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4252759051) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 137185761 + ... + 137185791.

It is an arithmetic number, because the mean of its divisors is an integer number (22929088).

Almost surely, 2^4252759056 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 4252759056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8254471680).

4252759056 is an abundant number, since it is smaller than the sum of its proper divisors (12256184304).

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

4252759056 is a wasteful number, since it uses less digits than its factorization.

4252759056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The square root of 4252759056 is about 65213.1816123090. The cubic root of 4252759056 is about 1620.1563452217.

The spelling of 4252759056 in words is "four billion, two hundred fifty-two million, seven hundred fifty-nine thousand, fifty-six".