52131511930752 has 256 divisors, whose sum is σ = 157166400038400. Its totient is φ = 17007356620800.

The previous prime is 52131511930721. The next prime is 52131511930793. The reversal of 52131511930752 is 25703911513125.

52131511930752 is a `hidden beast` number, since 5 + 2 + 1 + 31 + 511 + 9 + 30 + 75 + 2 = 666.

It is a super-2 number, since 2×52131511930752² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 52131511930698 and 52131511930707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32841127 + ... + 34391897.

It is an arithmetic number, because the mean of its divisors is an integer number (613931250150).

Almost surely, 2^{52131511930752} 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 52131511930752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78583200019200).

52131511930752 is an abundant number, since it is smaller than the sum of its proper divisors (105034888107648).

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

52131511930752 is a wasteful number, since it uses less digits than its factorization.

52131511930752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1551002 (or 1550984 counting only the distinct ones).

The product of its (nonzero) digits is 283500, while the sum is 45.

The spelling of 52131511930752 in words is "fifty-two trillion, one hundred thirty-one billion, five hundred eleven million, nine hundred thirty thousand, seven hundred fifty-two".