513823048992 has 1152 divisors, whose sum is σ = 1818063636480. Its totient is φ = 141087744000.

The previous prime is 513823048951. The next prime is 513823049059. The reversal of 513823048992 is 299840328315.

513823048992 is a `hidden beast` number, since 5 + 138 + 23 + 0 + 489 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7038671868 + ... + 7038671940.

It is an arithmetic number, because the mean of its divisors is an integer number (1578180240).

Almost surely, 2^513823048992 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 513823048992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909031818240).

513823048992 is an abundant number, since it is smaller than the sum of its proper divisors (1304240587488).

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

513823048992 is a wasteful number, since it uses less digits than its factorization.

513823048992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 513823048992 in words is "five hundred thirteen billion, eight hundred twenty-three million, forty-eight thousand, nine hundred ninety-two".