513213104123417 has 2 divisors, whose sum is σ = 513213104123418. Its totient is φ = 513213104123416.

The previous prime is 513213104123381. The next prime is 513213104123569. The reversal of 513213104123417 is 714321401312315.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 340839942346201 + 172373161777216 = 18461851^2 + 13129096^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-513213104123417 is a prime.

It is not a weakly prime, because it can be changed into another prime (513213104123117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256606552061708 + 256606552061709.

It is an arithmetic number, because the mean of its divisors is an integer number (256606552061709).

Almost surely, 2^{513213104123417} is an apocalyptic number.

It is an amenable number.

513213104123417 is a deficient number, since it is larger than the sum of its proper divisors (1).

513213104123417 is an equidigital number, since it uses as much as digits as its factorization.

513213104123417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60480, while the sum is 38.

The spelling of 513213104123417 in words is "five hundred thirteen trillion, two hundred thirteen billion, one hundred four million, one hundred twenty-three thousand, four hundred seventeen".