4052569752 has 384 divisors, whose sum is σ = 14984524800. Its totient is φ = 989936640.

The previous prime is 4052569739. The next prime is 4052569789. The reversal of 4052569752 is 2579652504.

4052569752 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4052569698 and 4052569707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3109533 + ... + 3110835.

It is an arithmetic number, because the mean of its divisors is an integer number (39022200).

Almost surely, 2^4052569752 is an apocalyptic number.

4052569752 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4052569752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7492262400).

4052569752 is an abundant number, since it is smaller than the sum of its proper divisors (10931955048).

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

4052569752 is a wasteful number, since it uses less digits than its factorization.

4052569752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364 (or 1343 counting only the distinct ones).

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

The square root of 4052569752 is about 63659.7969836537. The cubic root of 4052569752 is about 1594.3249144681.

The spelling of 4052569752 in words is "four billion, fifty-two million, five hundred sixty-nine thousand, seven hundred fifty-two".