506041321520 has 160 divisors (see below), whose sum is σ = 1433278800000. Its totient is φ = 162197618688.

The previous prime is 506041321519. The next prime is 506041321549. The reversal of 506041321520 is 25123140605.

It is a super-3 number, since 3×506041321520³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 1240106 + ... + 1596854.

It is an arithmetic number, because the mean of its divisors is an integer number (8957992500).

Almost surely, 2^506041321520 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 506041321520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716639400000).

506041321520 is an abundant number, since it is smaller than the sum of its proper divisors (927237478480).

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

506041321520 is a wasteful number, since it uses less digits than its factorization.

506041321520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356935 (or 356929 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The spelling of 506041321520 in words is "five hundred six billion, forty-one million, three hundred twenty-one thousand, five hundred twenty".