513152064 has 112 divisors (see below), whose sum is σ = 1545579840. Its totient is φ = 166855680.

The previous prime is 513152051. The next prime is 513152099. The reversal of 513152064 is 460251315.

513152064 is a `hidden beast` number, since 5 + 131 + 520 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 67227 + ... + 74469.

It is an arithmetic number, because the mean of its divisors is an integer number (13799820).

Almost surely, 2^513152064 is an apocalyptic number.

513152064 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513152064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772789920).

513152064 is an abundant number, since it is smaller than the sum of its proper divisors (1032427776).

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

513152064 is a wasteful number, since it uses less digits than its factorization.

513152064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7305 (or 7289 counting only the distinct ones).

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

The square root of 513152064 is about 22652.8599518913. The cubic root of 513152064 is about 800.5995838451.

The spelling of 513152064 in words is "five hundred thirteen million, one hundred fifty-two thousand, sixty-four".