506351335552 has 64 divisors (see below), whose sum is σ = 1037759636160. Its totient is φ = 245986790400.

The previous prime is 506351335489. The next prime is 506351335613. The reversal of 506351335552 is 255533153605.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 506351335499 and 506351335508.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 336427 + ... + 1061077.

It is an arithmetic number, because the mean of its divisors is an integer number (16214994315).

Almost surely, 2^506351335552 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 506351335552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518879818080).

506351335552 is an abundant number, since it is smaller than the sum of its proper divisors (531408300608).

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

506351335552 is a wasteful number, since it uses less digits than its factorization.

506351335552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724821 (or 724809 counting only the distinct ones).

The product of its (nonzero) digits is 1012500, while the sum is 43.

The spelling of 506351335552 in words is "five hundred six billion, three hundred fifty-one million, three hundred thirty-five thousand, five hundred fifty-two".