506119513536 has 1008 divisors, whose sum is σ = 1926540435456. Its totient is φ = 130521839616.

The previous prime is 506119513357. The next prime is 506119513541. The reversal of 506119513536 is 635315911605.

506119513536 is a `hidden beast` number, since 5 + 0 + 6 + 11 + 95 + 13 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a junction number, because it is equal to n+sod(n) for n = 506119513491 and 506119513500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 465610785 + ... + 465611871.

It is an arithmetic number, because the mean of its divisors is an integer number (1911250432).

Almost surely, 2^506119513536 is an apocalyptic number.

506119513536 is a gapful number since it is divisible by the number (56) 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 506119513536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963270217728).

506119513536 is an abundant number, since it is smaller than the sum of its proper divisors (1420420921920).

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

506119513536 is a wasteful number, since it uses less digits than its factorization.

506119513536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 364500, while the sum is 45.

The spelling of 506119513536 in words is "five hundred six billion, one hundred nineteen million, five hundred thirteen thousand, five hundred thirty-six".