513284823 has 16 divisors (see below), whose sum is σ = 761161440. Its totient is φ = 341857152.

The previous prime is 513284819. The next prime is 513284843. The reversal of 513284823 is 328482315.

It is not a de Polignac number, because 513284823 - 2² = 513284819 is a prime.

It is a super-2 number, since 2×513284823² = 526922619044282658, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513284803) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20815 + ... + 38207.

It is an arithmetic number, because the mean of its divisors is an integer number (47572590).

Almost surely, 2^513284823 is an apocalyptic number.

513284823 is a deficient number, since it is larger than the sum of its proper divisors (247876617).

513284823 is a wasteful number, since it uses less digits than its factorization.

513284823 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18495 (or 18489 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 513284823 is about 22655.7900546417. The cubic root of 513284823 is about 800.6686196748.

The spelling of 513284823 in words is "five hundred thirteen million, two hundred eighty-four thousand, eight hundred twenty-three".