5352165526608 has 120 divisors (see below), whose sum is σ = 15507171037800. Its totient is φ = 1721197965312.

The previous prime is 5352165526597. The next prime is 5352165526717. The reversal of 5352165526608 is 8066255612535.

5352165526608 is a `hidden beast` number, since 5 + 3 + 5 + 2 + 1 + 6 + 5 + 5 + 26 + 608 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 827066562624 + 4525098963984 = 909432^2 + 2127228^2 .

It is a super-2 number, since 2×5352165526608² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4885716 + ... + 5880012.

It is an arithmetic number, because the mean of its divisors is an integer number (129226425315).

Almost surely, 2^{5352165526608} is an apocalyptic number.

5352165526608 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5352165526608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7753585518900).

5352165526608 is an abundant number, since it is smaller than the sum of its proper divisors (10155005511192).

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

5352165526608 is a wasteful number, since it uses less digits than its factorization.

5352165526608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995629 (or 995620 counting only the distinct ones).

The product of its (nonzero) digits is 12960000, while the sum is 54.

The spelling of 5352165526608 in words is "five trillion, three hundred fifty-two billion, one hundred sixty-five million, five hundred twenty-six thousand, six hundred eight".