513200363 has 8 divisors (see below), whose sum is σ = 552879600. Its totient is φ = 473550048.

The previous prime is 513200351. The next prime is 513200417. The reversal of 513200363 is 363002315.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 513200363 - 2⁶ = 513200299 is a prime.

It is a super-2 number, since 2×513200363² = 526749225166663538, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (513200333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42173 + ... + 52961.

It is an arithmetic number, because the mean of its divisors is an integer number (69109950).

Almost surely, 2^513200363 is an apocalyptic number.

513200363 is a deficient number, since it is larger than the sum of its proper divisors (39679237).

513200363 is a wasteful number, since it uses less digits than its factorization.

513200363 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14461.

The product of its (nonzero) digits is 1620, while the sum is 23.

The square root of 513200363 is about 22653.9259952883. The cubic root of 513200363 is about 800.6247011212.

Adding to 513200363 its reverse (363002315), we get a palindrome (876202678).

The spelling of 513200363 in words is "five hundred thirteen million, two hundred thousand, three hundred sixty-three".