513004000 has 96 divisors (see below), whose sum is σ = 1267733376. Its totient is φ = 204019200.

The previous prime is 513003973. The next prime is 513004003. The reversal of 513004000 is 400315.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513004003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1107769 + ... + 1108231.

It is an arithmetic number, because the mean of its divisors is an integer number (13205556).

Almost surely, 2^513004000 is an apocalyptic number.

513004000 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 513004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633866688).

513004000 is an abundant number, since it is smaller than the sum of its proper divisors (754729376).

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

513004000 is a wasteful number, since it uses less digits than its factorization.

513004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 513004000 is about 22649.5916077973. The cubic root of 513004000 is about 800.5225752362.

Adding to 513004000 its reverse (400315), we get a palindrome (513404315).

The spelling of 513004000 in words is "five hundred thirteen million, four thousand".