513304000000 has 560 divisors, whose sum is σ = 1476937344960. Its totient is φ = 176256000000.

The previous prime is 513303999983. The next prime is 513304000073. The reversal of 513304000000 is 403315.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1671999847 + ... + 1672000153.

It is an arithmetic number, because the mean of its divisors is an integer number (2637388116).

Almost surely, 2^513304000000 is an apocalyptic number.

513304000000 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 513304000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738468672480).

513304000000 is an abundant number, since it is smaller than the sum of its proper divisors (963633344960).

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

513304000000 is an frugal number, since it uses more digits than its factorization.

513304000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

Adding to 513304000000 its reverse (403315), we get a palindrome (513304403315).

The spelling of 513304000000 in words is "five hundred thirteen billion, three hundred four million", and thus it is an aban number.