513746304 has 64 divisors (see below), whose sum is σ = 1370096640. Its totient is φ = 170564096.

The previous prime is 513746287. The next prime is 513746309. The reversal of 513746304 is 403647315.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513746309) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98449 + ... + 103535.

It is an arithmetic number, because the mean of its divisors is an integer number (21407760).

Almost surely, 2^513746304 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 513746304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685048320).

513746304 is an abundant number, since it is smaller than the sum of its proper divisors (856350336).

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

513746304 is a wasteful number, since it uses less digits than its factorization.

513746304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5367 (or 5355 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 513746304 is about 22665.9723815238. The cubic root of 513746304 is about 800.9085012247.

The spelling of 513746304 in words is "five hundred thirteen million, seven hundred forty-six thousand, three hundred four".