513356064 has 96 divisors (see below), whose sum is σ = 1456076160. Its totient is φ = 157427712.

The previous prime is 513356047. The next prime is 513356071. The reversal of 513356064 is 460653315.

It is a tau number, because it is divible by the number of its divisors (96).

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, 547404 + ... + 548340.

It is an arithmetic number, because the mean of its divisors is an integer number (15167460).

Almost surely, 2^513356064 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 513356064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728038080).

513356064 is an abundant number, since it is smaller than the sum of its proper divisors (942720096).

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

513356064 is a wasteful number, since it uses less digits than its factorization.

513356064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1402 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The square root of 513356064 is about 22657.3622471814. The cubic root of 513356064 is about 800.7056607040.

The spelling of 513356064 in words is "five hundred thirteen million, three hundred fifty-six thousand, sixty-four".