5306008128552 has 320 divisors, whose sum is σ = 15364865134080. Its totient is φ = 1709465015808.

The previous prime is 5306008128527. The next prime is 5306008128571. The reversal of 5306008128552 is 2558218006035.

5306008128552 is a `hidden beast` number, since 5 + 30 + 60 + 0 + 8 + 1 + 2 + 8 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5306008128498 and 5306008128507.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3651759858 + ... + 3651761310.

It is an arithmetic number, because the mean of its divisors is an integer number (48015203544).

Almost surely, 2^{5306008128552} 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 5306008128552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7682432567040).

5306008128552 is an abundant number, since it is smaller than the sum of its proper divisors (10058857005528).

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

5306008128552 is a wasteful number, since it uses less digits than its factorization.

5306008128552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2414 (or 2401 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 5306008128552 in words is "five trillion, three hundred six billion, eight million, one hundred twenty-eight thousand, five hundred fifty-two".