513328116000 has 576 divisors, whose sum is σ = 1983183471360. Its totient is φ = 115715174400.

The previous prime is 513328115947. The next prime is 513328116017. The reversal of 513328116000 is 611823315.

It is a super-2 number, since 2×513328116000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 95 ways as a sum of consecutive naturals, for example, 42918021 + ... + 42929979.

It is an arithmetic number, because the mean of its divisors is an integer number (3443026860).

Almost surely, 2^513328116000 is an apocalyptic number.

513328116000 is a gapful number since it is divisible by the number (50) 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 513328116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991591735680).

513328116000 is an abundant number, since it is smaller than the sum of its proper divisors (1469855355360).

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

513328116000 is a wasteful number, since it uses less digits than its factorization.

513328116000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12074 (or 12049 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

Adding to 513328116000 its reverse (611823315), we get a palindrome (513939939315).

The spelling of 513328116000 in words is "five hundred thirteen billion, three hundred twenty-eight million, one hundred sixteen thousand".