513190968576 has 288 divisors, whose sum is σ = 1607878097280. Its totient is φ = 143258419200.

The previous prime is 513190968569. The next prime is 513190968611. The reversal of 513190968576 is 675869091315.

It is a super-4 number, since 4×513190968576⁴ (a number of 48 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57213820 + ... + 57222788.

It is an arithmetic number, because the mean of its divisors is an integer number (5582910060).

Almost surely, 2^513190968576 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 513190968576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803939048640).

513190968576 is an abundant number, since it is smaller than the sum of its proper divisors (1094687128704).

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

513190968576 is a wasteful number, since it uses less digits than its factorization.

513190968576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9533 (or 9519 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 60.

The spelling of 513190968576 in words is "five hundred thirteen billion, one hundred ninety million, nine hundred sixty-eight thousand, five hundred seventy-six".