5306516106752 has 320 divisors, whose sum is σ = 13161537607680. Its totient is φ = 2086823264256.

The previous prime is 5306516106721. The next prime is 5306516106757. The reversal of 5306516106752 is 2576016156035.

It is a super-2 number, since 2×5306516106752² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a junction number, because it is equal to n+sod(n) for n = 5306516106697 and 5306516106706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5306516106757) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 310441118 + ... + 310458210.

It is an arithmetic number, because the mean of its divisors is an integer number (41129805024).

Almost surely, 2^{5306516106752} 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 5306516106752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6580768803840).

5306516106752 is an abundant number, since it is smaller than the sum of its proper divisors (7855021500928).

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

5306516106752 is a wasteful number, since it uses less digits than its factorization.

5306516106752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17281 (or 17265 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 47.

The spelling of 5306516106752 in words is "five trillion, three hundred six billion, five hundred sixteen million, one hundred six thousand, seven hundred fifty-two".