5162529437352 has 256 divisors, whose sum is σ = 17104453632000. Its totient is φ = 1410637814784.

The previous prime is 5162529437341. The next prime is 5162529437441. The reversal of 5162529437352 is 2537349252615.

5162529437352 is a `hidden beast` number, since 5 + 1 + 6 + 2 + 529 + 43 + 73 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 324904224 + ... + 324920112.

It is an arithmetic number, because the mean of its divisors is an integer number (66814272000).

Almost surely, 2^{5162529437352} 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 5162529437352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8552226816000).

5162529437352 is an abundant number, since it is smaller than the sum of its proper divisors (11941924194648).

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

5162529437352 is a wasteful number, since it uses less digits than its factorization.

5162529437352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25277 (or 25267 counting only the distinct ones).

The product of its digits is 13608000, while the sum is 54.

The spelling of 5162529437352 in words is "five trillion, one hundred sixty-two billion, five hundred twenty-nine million, four hundred thirty-seven thousand, three hundred fifty-two".