513043968 has 80 divisors (see below), whose sum is σ = 1374126336. Its totient is φ = 170096640.

The previous prime is 513043919. The next prime is 513043981. The reversal of 513043968 is 869340315.

It is a super-2 number, since 2×513043968² = 526428226202370048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 323305 + ... + 324887.

Almost surely, 2^513043968 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 513043968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687063168).

513043968 is an abundant number, since it is smaller than the sum of its proper divisors (861082368).

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

513043968 is a wasteful number, since it uses less digits than its factorization.

513043968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1815 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 513043968 is about 22650.4739023271. The cubic root of 513043968 is about 800.5433641940.

The spelling of 513043968 in words is "five hundred thirteen million, forty-three thousand, nine hundred sixty-eight".