513504213 has 16 divisors (see below), whose sum is σ = 706104000. Its totient is φ = 331733120.

The previous prime is 513504209. The next prime is 513504217. The reversal of 513504213 is 312405315.

It is an interprime number because it is at equal distance from previous prime (513504209) and next prime (513504217).

It is a cyclic number.

It is not a de Polignac number, because 513504213 - 2² = 513504209 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513504217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4318 + ... + 32336.

It is an arithmetic number, because the mean of its divisors is an integer number (44131500).

Almost surely, 2^513504213 is an apocalyptic number.

It is an amenable number.

513504213 is a deficient number, since it is larger than the sum of its proper divisors (192599787).

513504213 is a wasteful number, since it uses less digits than its factorization.

513504213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28212.

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 513504213 is about 22660.6313460151. The cubic root of 513504213 is about 800.7826782895.

Adding to 513504213 its reverse (312405315), we get a palindrome (825909528).

The spelling of 513504213 in words is "five hundred thirteen million, five hundred four thousand, two hundred thirteen".