513332165273 has 2 divisors, whose sum is σ = 513332165274. Its totient is φ = 513332165272.

The previous prime is 513332165221. The next prime is 513332165327. The reversal of 513332165273 is 372561233315.

Together with next prime (513332165327) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 294053499289 + 219278665984 = 542267^2 + 468272^2 .

It is a cyclic number.

It is not a de Polignac number, because 513332165273 - 2⁶ = 513332165209 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 513332165273.

It is not a weakly prime, because it can be changed into another prime (513332165473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256666082636 + 256666082637.

It is an arithmetic number, because the mean of its divisors is an integer number (256666082637).

Almost surely, 2^513332165273 is an apocalyptic number.

It is an amenable number.

513332165273 is a deficient number, since it is larger than the sum of its proper divisors (1).

513332165273 is an equidigital number, since it uses as much as digits as its factorization.

513332165273 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 340200, while the sum is 41.

Adding to 513332165273 its reverse (372561233315), we get a palindrome (885893398588).

The spelling of 513332165273 in words is "five hundred thirteen billion, three hundred thirty-two million, one hundred sixty-five thousand, two hundred seventy-three".