513993600000 has 792 divisors, whose sum is σ = 1926679403376. Its totient is φ = 136857600000.

The previous prime is 513993599983. The next prime is 513993600011. The reversal of 513993600000 is 6399315.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 777599670 + ... + 777600330.

Almost surely, 2^513993600000 is an apocalyptic number.

513993600000 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 513993600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963339701688).

513993600000 is an abundant number, since it is smaller than the sum of its proper divisors (1412685803376).

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

513993600000 is an frugal number, since it uses more digits than its factorization.

513993600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 36.

Adding to 513993600000 its reverse (6399315), we get a palindrome (513999999315).

The spelling of 513993600000 in words is "five hundred thirteen billion, nine hundred ninety-three million, six hundred thousand".