513152648 has 12 divisors (see below), whose sum is σ = 962281365. Its totient is φ = 256544288.

The previous prime is 513152639. The next prime is 513152681. The reversal of 513152648 is 846251315.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 501849604 + 11303044 = 22402^2 + 3362^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=16018.

It is a Duffinian 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 2 ways as a sum of consecutive naturals, for example, 60068 + ... + 68076.

Almost surely, 2^513152648 is an apocalyptic number.

It is an amenable number.

513152648 is a deficient number, since it is larger than the sum of its proper divisors (449128717).

513152648 is an frugal number, since it uses more digits than its factorization.

513152648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16024 (or 8011 counting only the distinct ones).

The product of its digits is 28800, while the sum is 35.

The square root of 513152648 is about 22652.8728420922. The cubic root of 513152648 is about 800.5998875562.

Multiplying 513152648 by its product of digits (28800), we get a square (14778796262400 = 3844320²).

The spelling of 513152648 in words is "five hundred thirteen million, one hundred fifty-two thousand, six hundred forty-eight".