513893613168 has 640 divisors, whose sum is σ = 1734955622400. Its totient is φ = 144223027200.

The previous prime is 513893613157. The next prime is 513893613229. The reversal of 513893613168 is 861316398315.

513893613168 is a `hidden beast` number, since 5 + 1 + 3 + 8 + 9 + 3 + 613 + 16 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1114736458 + ... + 1114736918.

It is an arithmetic number, because the mean of its divisors is an integer number (2710868160).

Almost surely, 2^513893613168 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 513893613168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867477811200).

513893613168 is an abundant number, since it is smaller than the sum of its proper divisors (1221062009232).

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

513893613168 is a wasteful number, since it uses less digits than its factorization.

513893613168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 866 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The spelling of 513893613168 in words is "five hundred thirteen billion, eight hundred ninety-three million, six hundred thirteen thousand, one hundred sixty-eight".