5803007952 has 160 divisors (see below), whose sum is σ = 17370316800. Its totient is φ = 1635185664.

The previous prime is 5803007941. The next prime is 5803007957. The reversal of 5803007952 is 2597003085.

It is a self number, because there is not a number n which added to its sum of digits gives 5803007952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5803007957) 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 31 ways as a sum of consecutive naturals, for example, 10198324 + ... + 10198892.

It is an arithmetic number, because the mean of its divisors is an integer number (108564480).

Almost surely, 2^5803007952 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 5803007952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8685158400).

5803007952 is an abundant number, since it is smaller than the sum of its proper divisors (11567308848).

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

5803007952 is a wasteful number, since it uses less digits than its factorization.

5803007952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 5803007952 is about 76177.4766712576. The cubic root of 5803007952 is about 1797.0123227475.

The spelling of 5803007952 in words is "five billion, eight hundred three million, seven thousand, nine hundred fifty-two".