513209248817 has 2 divisors, whose sum is σ = 513209248818. Its totient is φ = 513209248816.

The previous prime is 513209248813. The next prime is 513209248841. The reversal of 513209248817 is 718842902315.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 306765330496 + 206443918321 = 553864^2 + 454361^2 .

It is a cyclic number.

It is not a de Polignac number, because 513209248817 - 2² = 513209248813 is a prime.

It is not a weakly prime, because it can be changed into another prime (513209248813) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256604624408 + 256604624409.

It is an arithmetic number, because the mean of its divisors is an integer number (256604624409).

Almost surely, 2^513209248817 is an apocalyptic number.

It is an amenable number.

513209248817 is a deficient number, since it is larger than the sum of its proper divisors (1).

513209248817 is an equidigital number, since it uses as much as digits as its factorization.

513209248817 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 967680, while the sum is 50.

The spelling of 513209248817 in words is "five hundred thirteen billion, two hundred nine million, two hundred forty-eight thousand, eight hundred seventeen".