513147648 has 144 divisors (see below), whose sum is σ = 1488032000. Its totient is φ = 156045312.

The previous prime is 513147637. The next prime is 513147671. The reversal of 513147648 is 846741315.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1028103 + ... + 1028601.

Almost surely, 2^513147648 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 513147648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744016000).

513147648 is an abundant number, since it is smaller than the sum of its proper divisors (974884352).

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

513147648 is a wasteful number, since it uses less digits than its factorization.

513147648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 620 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 513147648 is about 22652.7624805453. The cubic root of 513147648 is about 800.5972872822.

The spelling of 513147648 in words is "five hundred thirteen million, one hundred forty-seven thousand, six hundred forty-eight".