513207217 has 2 divisors, whose sum is σ = 513207218. Its totient is φ = 513207216.

The previous prime is 513207187. The next prime is 513207221. The reversal of 513207217 is 712702315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 498584241 + 14622976 = 22329^2 + 3824^2 .

It is a cyclic number.

It is not a de Polignac number, because 513207217 - 2⁷ = 513207089 is a prime.

It is not a weakly prime, because it can be changed into another prime (513201217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256603608 + 256603609.

It is an arithmetic number, because the mean of its divisors is an integer number (256603609).

Almost surely, 2^513207217 is an apocalyptic number.

It is an amenable number.

513207217 is a deficient number, since it is larger than the sum of its proper divisors (1).

513207217 is an equidigital number, since it uses as much as digits as its factorization.

513207217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2940, while the sum is 28.

The square root of 513207217 is about 22654.0772709903. The cubic root of 513207217 is about 800.6282653284.

The spelling of 513207217 in words is "five hundred thirteen million, two hundred seven thousand, two hundred seventeen".