513064217 has 2 divisors, whose sum is σ = 513064218. Its totient is φ = 513064216.

The previous prime is 513064187. The next prime is 513064219. The reversal of 513064217 is 712460315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 359898841 + 153165376 = 18971^2 + 12376^2 .

It is a cyclic number.

It is not a de Polignac number, because 513064217 - 2²⁰ = 512015641 is a prime.

Together with 513064219, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 513064217.

It is not a weakly prime, because it can be changed into another prime (513064219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256532108 + 256532109.

It is an arithmetic number, because the mean of its divisors is an integer number (256532109).

Almost surely, 2^513064217 is an apocalyptic number.

It is an amenable number.

513064217 is a deficient number, since it is larger than the sum of its proper divisors (1).

513064217 is an equidigital number, since it uses as much as digits as its factorization.

513064217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 513064217 is about 22650.9208863569. The cubic root of 513064217 is about 800.5538960979.

The spelling of 513064217 in words is "five hundred thirteen million, sixty-four thousand, two hundred seventeen".