513041504000 has 144 divisors (see below), whose sum is σ = 1353231393696. Its totient is φ = 193144832000.

The previous prime is 513041503993. The next prime is 513041504023. The reversal of 513041504000 is 405140315.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72455 + ... + 1015545.

It is an arithmetic number, because the mean of its divisors is an integer number (9397440234).

Almost surely, 2^513041504000 is an apocalyptic number.

513041504000 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 513041504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676615696848).

513041504000 is an abundant number, since it is smaller than the sum of its proper divisors (840189889696).

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

513041504000 is an equidigital number, since it uses as much as digits as its factorization.

513041504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943139 (or 943115 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

Adding to 513041504000 its reverse (405140315), we get a palindrome (513446644315).

The spelling of 513041504000 in words is "five hundred thirteen billion, forty-one million, five hundred four thousand".