4052516832 has 672 divisors, whose sum is σ = 15547811328. Its totient is φ = 1010009088.

The previous prime is 4052516807. The next prime is 4052516843. The reversal of 4052516832 is 2386152504.

4052516832 is a `hidden beast` number, since 40 + 525 + 1 + 68 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 48825463 + ... + 48825545.

It is an arithmetic number, because the mean of its divisors is an integer number (23136624).

Almost surely, 2^4052516832 is an apocalyptic number.

4052516832 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 4052516832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7773905664).

4052516832 is an abundant number, since it is smaller than the sum of its proper divisors (11495294496).

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

4052516832 is a wasteful number, since it uses less digits than its factorization.

4052516832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 4052516832 is about 63659.3813353539. The cubic root of 4052516832 is about 1594.3179746705.

The spelling of 4052516832 in words is "four billion, fifty-two million, five hundred sixteen thousand, eight hundred thirty-two".