506013334488 has 384 divisors, whose sum is σ = 1523674152000. Its totient is φ = 151513313280.

The previous prime is 506013334487. The next prime is 506013334501. The reversal of 506013334488 is 884433310605.

506013334488 is a `hidden beast` number, since 5 + 0 + 6 + 0 + 133 + 34 + 488 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506013334487) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1097642578 + ... + 1097643038.

Almost surely, 2^506013334488 is an apocalyptic number.

506013334488 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506013334488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761837076000).

506013334488 is an abundant number, since it is smaller than the sum of its proper divisors (1017660817512).

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

506013334488 is a wasteful number, since it uses less digits than its factorization.

506013334488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 506013334488 in words is "five hundred six billion, thirteen million, three hundred thirty-four thousand, four hundred eighty-eight".