513204165217 has 2 divisors, whose sum is σ = 513204165218. Its totient is φ = 513204165216.

The previous prime is 513204165169. The next prime is 513204165269. The reversal of 513204165217 is 712561402315.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 424581256801 + 88622908416 = 651599^2 + 297696^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-513204165217 is a prime.

It is not a weakly prime, because it can be changed into another prime (513204165277) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256602082608 + 256602082609.

It is an arithmetic number, because the mean of its divisors is an integer number (256602082609).

Almost surely, 2^513204165217 is an apocalyptic number.

It is an amenable number.

513204165217 is a deficient number, since it is larger than the sum of its proper divisors (1).

513204165217 is an equidigital number, since it uses as much as digits as its factorization.

513204165217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 50400, while the sum is 37.

The spelling of 513204165217 in words is "five hundred thirteen billion, two hundred four million, one hundred sixty-five thousand, two hundred seventeen".