5083575552 has 864 divisors, whose sum is σ = 19284894720. Its totient is φ = 1313832960.

The previous prime is 5083575551. The next prime is 5083575577. The reversal of 5083575552 is 2555753805.

It is a tau number, because it is divible by the number of its divisors (864).

It is a junction number, because it is equal to n+sod(n) for n = 5083575498 and 5083575507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5083575551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 221025013 + ... + 221025035.

It is an arithmetic number, because the mean of its divisors is an integer number (22320480).

Almost surely, 2^5083575552 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 5083575552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9642447360).

5083575552 is an abundant number, since it is smaller than the sum of its proper divisors (14201319168).

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

5083575552 is a wasteful number, since it uses less digits than its factorization.

5083575552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 1050000, while the sum is 45.

The square root of 5083575552 is about 71299.1974148377. The cubic root of 5083575552 is about 1719.4508288226.

The spelling of 5083575552 in words is "five billion, eighty-three million, five hundred seventy-five thousand, five hundred fifty-two".