513958464 has 84 divisors (see below), whose sum is σ = 1487643456. Its totient is φ = 169636608.

The previous prime is 513958451. The next prime is 513958507. The reversal of 513958464 is 464859315.

513958464 is a `hidden beast` number, since 5 + 1 + 3 + 9 + 584 + 64 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 11 ways as a sum of consecutive naturals, for example, 54997 + ... + 63659.

Almost surely, 2^513958464 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 513958464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743821728).

513958464 is an abundant number, since it is smaller than the sum of its proper divisors (973684992).

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

513958464 is a wasteful number, since it uses less digits than its factorization.

513958464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8784 (or 8771 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 513958464 is about 22670.6520417918. The cubic root of 513958464 is about 801.0187355051.

The spelling of 513958464 in words is "five hundred thirteen million, nine hundred fifty-eight thousand, four hundred sixty-four".