513318017 has 2 divisors, whose sum is σ = 513318018. Its totient is φ = 513318016.

The previous prime is 513317993. The next prime is 513318019. The reversal of 513318017 is 710813315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 438651136 + 74666881 = 20944^2 + 8641^2 .

It is a cyclic number.

It is not a de Polignac number, because 513318017 - 2⁶ = 513317953 is a prime.

Together with 513318019, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (513318019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256659008 + 256659009.

It is an arithmetic number, because the mean of its divisors is an integer number (256659009).

Almost surely, 2^513318017 is an apocalyptic number.

It is an amenable number.

513318017 is a deficient number, since it is larger than the sum of its proper divisors (1).

513318017 is an equidigital number, since it uses as much as digits as its factorization.

513318017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2520, while the sum is 29.

The square root of 513318017 is about 22656.5226149116. The cubic root of 513318017 is about 800.6858789820.

The spelling of 513318017 in words is "five hundred thirteen million, three hundred eighteen thousand, seventeen".