513513017 has 2 divisors, whose sum is σ = 513513018. Its totient is φ = 513513016.

The previous prime is 513512969. The next prime is 513513029. The reversal of 513513017 is 710315315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 509811241 + 3701776 = 22579^2 + 1924^2 .

It is a cyclic number.

It is not a de Polignac number, because 513513017 - 2⁶ = 513512953 is a prime.

It is a super-3 number, since 3×513513017³ (a number of 27 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (513513037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256756508 + 256756509.

It is an arithmetic number, because the mean of its divisors is an integer number (256756509).

Almost surely, 2^513513017 is an apocalyptic number.

It is an amenable number.

513513017 is a deficient number, since it is larger than the sum of its proper divisors (1).

513513017 is an equidigital number, since it uses as much as digits as its factorization.

513513017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1575, while the sum is 26.

The square root of 513513017 is about 22660.8256027886. The cubic root of 513513017 is about 800.7872547209.

The spelling of 513513017 in words is "five hundred thirteen million, five hundred thirteen thousand, seventeen".