513017002273 has 2 divisors, whose sum is σ = 513017002274. Its totient is φ = 513017002272.

The previous prime is 513017002271. The next prime is 513017002387. The reversal of 513017002273 is 372200710315.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 265578407649 + 247438594624 = 515343^2 + 497432^2 .

It is a cyclic number.

It is not a de Polignac number, because 513017002273 - 2¹ = 513017002271 is a prime.

Together with 513017002271, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (513017002271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256508501136 + 256508501137.

It is an arithmetic number, because the mean of its divisors is an integer number (256508501137).

Almost surely, 2^513017002273 is an apocalyptic number.

It is an amenable number.

513017002273 is a deficient number, since it is larger than the sum of its proper divisors (1).

513017002273 is an equidigital number, since it uses as much as digits as its factorization.

513017002273 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8820, while the sum is 31.

Adding to 513017002273 its reverse (372200710315), we get a palindrome (885217712588).

The spelling of 513017002273 in words is "five hundred thirteen billion, seventeen million, two thousand, two hundred seventy-three".