506113199015424 has 2560 divisors, whose sum is σ = 1904944315760640. Its totient is φ = 115863345561600.

The previous prime is 506113199015419. The next prime is 506113199015443. The reversal of 506113199015424 is 424510991311605.

It is a super-3 number, since 3×506113199015424³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 668577541254 + ... + 668577542010.

It is an arithmetic number, because the mean of its divisors is an integer number (744118873344).

Almost surely, 2^{506113199015424} 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 506113199015424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952472157880320).

506113199015424 is an abundant number, since it is smaller than the sum of its proper divisors (1398831116745216).

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

506113199015424 is a wasteful number, since it uses less digits than its factorization.

506113199015424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 51.

The spelling of 506113199015424 in words is "five hundred six trillion, one hundred thirteen billion, one hundred ninety-nine million, fifteen thousand, four hundred twenty-four".