5201584128 has 392 divisors, whose sum is σ = 17047101288. Its totient is φ = 1576599552.

The previous prime is 5201584111. The next prime is 5201584169. The reversal of 5201584128 is 8214851025.

5201584128 is a `hidden beast` number, since 52 + 0 + 1 + 584 + 1 + 28 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5201584092 and 5201584101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 77635551 + ... + 77635617.

Almost surely, 2^5201584128 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 5201584128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8523550644).

5201584128 is an abundant number, since it is smaller than the sum of its proper divisors (11845517160).

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

5201584128 is an frugal number, since it uses more digits than its factorization.

5201584128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 5201584128 is about 72122.0086242750. The cubic root of 5201584128 is about 1732.6541202074.

The spelling of 5201584128 in words is "five billion, two hundred one million, five hundred eighty-four thousand, one hundred twenty-eight".