513104384 has 80 divisors (see below), whose sum is σ = 1114595328. Its totient is φ = 234565632.

The previous prime is 513104377. The next prime is 513104399. The reversal of 513104384 is 483401315.

It is a super-2 number, since 2×513104384² = 526552217760038912, which contains 22 as substring.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 845009 + ... + 845615.

Almost surely, 2^513104384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513104384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557297664).

513104384 is an abundant number, since it is smaller than the sum of its proper divisors (601490944).

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

513104384 is a wasteful number, since it uses less digits than its factorization.

513104384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 513104384 is about 22651.8075216968. The cubic root of 513104384 is about 800.5747869261.

Adding to 513104384 its reverse (483401315), we get a palindrome (996505699).

The spelling of 513104384 in words is "five hundred thirteen million, one hundred four thousand, three hundred eighty-four".