513625344 has 72 divisors (see below), whose sum is σ = 1370477472. Its totient is φ = 170772480.

The previous prime is 513625339. The next prime is 513625361. The reversal of 513625344 is 443526315.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 470239 + ... + 471329.

Almost surely, 2^513625344 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 513625344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685238736).

513625344 is an abundant number, since it is smaller than the sum of its proper divisors (856852128).

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

513625344 is a wasteful number, since it uses less digits than its factorization.

513625344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1723 (or 1709 counting only the distinct ones).

The product of its digits is 43200, while the sum is 33.

The square root of 513625344 is about 22663.3039074183. The cubic root of 513625344 is about 800.8456391364.

The spelling of 513625344 in words is "five hundred thirteen million, six hundred twenty-five thousand, three hundred forty-four".