513521064 has 96 divisors (see below), whose sum is σ = 1628303040. Its totient is φ = 143136000.

The previous prime is 513521059. The next prime is 513521077. The reversal of 513521064 is 460125315.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8239 + ... + 33089.

It is an arithmetic number, because the mean of its divisors is an integer number (16961490).

Almost surely, 2^513521064 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 513521064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814151520).

513521064 is an abundant number, since it is smaller than the sum of its proper divisors (1114781976).

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

513521064 is a wasteful number, since it uses less digits than its factorization.

513521064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24911 (or 24904 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 513521064 is about 22661.0031552003. The cubic root of 513521064 is about 800.7914376083.

Adding to 513521064 its reverse (460125315), we get a palindrome (973646379).

The spelling of 513521064 in words is "five hundred thirteen million, five hundred twenty-one thousand, sixty-four".