513826368 has 112 divisors (see below), whose sum is σ = 1496909376. Its totient is φ = 154255360.

The previous prime is 513826337. The next prime is 513826387. The reversal of 513826368 is 863628315.

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, 237580 + ... + 239732.

Almost surely, 2^513826368 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 513826368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748454688).

513826368 is an abundant number, since it is smaller than the sum of its proper divisors (983083008).

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

513826368 is a wasteful number, since it uses less digits than its factorization.

513826368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2292 (or 2282 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 513826368 is about 22667.7384844629. The cubic root of 513826368 is about 800.9501045134.

The spelling of 513826368 in words is "five hundred thirteen million, eight hundred twenty-six thousand, three hundred sixty-eight".