513435648 has 192 divisors, whose sum is σ = 1528450560. Its totient is φ = 151961600.

The previous prime is 513435623. The next prime is 513435653. The reversal of 513435648 is 846534315.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4798411 + ... + 4798517.

It is an arithmetic number, because the mean of its divisors is an integer number (7960680).

Almost surely, 2^513435648 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 513435648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764225280).

513435648 is an abundant number, since it is smaller than the sum of its proper divisors (1015014912).

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

513435648 is a wasteful number, since it uses less digits than its factorization.

513435648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 194 counting only the distinct ones).

The product of its digits is 172800, while the sum is 39.

The square root of 513435648 is about 22659.1184294535. The cubic root of 513435648 is about 800.7470355386.

The spelling of 513435648 in words is "five hundred thirteen million, four hundred thirty-five thousand, six hundred forty-eight".