506351119752 has 192 divisors, whose sum is σ = 1448744693760. Its totient is φ = 165650184000.

The previous prime is 506351119741. The next prime is 506351119777. The reversal of 506351119752 is 257911153605.

506351119752 is a `hidden beast` number, since 5 + 0 + 63 + 511 + 1 + 9 + 75 + 2 = 666.

506351119752 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 506351119698 and 506351119707.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30771127 + ... + 30787577.

It is an arithmetic number, because the mean of its divisors is an integer number (7545545280).

Almost surely, 2^506351119752 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 506351119752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724372346880).

506351119752 is an abundant number, since it is smaller than the sum of its proper divisors (942393574008).

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

506351119752 is a wasteful number, since it uses less digits than its factorization.

506351119752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16766 (or 16750 counting only the distinct ones).

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

The spelling of 506351119752 in words is "five hundred six billion, three hundred fifty-one million, one hundred nineteen thousand, seven hundred fifty-two".