5107005510528 has 128 divisors (see below), whose sum is σ = 14282607283200. Its totient is φ = 1612382699520.

The previous prime is 5107005510517. The next prime is 5107005510583. The reversal of 5107005510528 is 8250155007015.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×5107005510528³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 34019313 + ... + 34169103.

It is an arithmetic number, because the mean of its divisors is an integer number (111582869400).

Almost surely, 2^{5107005510528} 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 5107005510528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7141303641600).

5107005510528 is an abundant number, since it is smaller than the sum of its proper divisors (9175601772672).

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

5107005510528 is a wasteful number, since it uses less digits than its factorization.

5107005510528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154500 (or 154488 counting only the distinct ones).

The product of its (nonzero) digits is 70000, while the sum is 39.

The spelling of 5107005510528 in words is "five trillion, one hundred seven billion, five million, five hundred ten thousand, five hundred twenty-eight".