513017473 has 2 divisors, whose sum is σ = 513017474. Its totient is φ = 513017472.

The previous prime is 513017471. The next prime is 513017539. The reversal of 513017473 is 374710315.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 375119424 + 137898049 = 19368^2 + 11743^2 .

It is a cyclic number.

It is not a de Polignac number, because 513017473 - 2¹ = 513017471 is a prime.

Together with 513017471, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (513017471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256508736 + 256508737.

It is an arithmetic number, because the mean of its divisors is an integer number (256508737).

Almost surely, 2^513017473 is an apocalyptic number.

It is an amenable number.

513017473 is a deficient number, since it is larger than the sum of its proper divisors (1).

513017473 is an equidigital number, since it uses as much as digits as its factorization.

513017473 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.

The square root of 513017473 is about 22649.8890284257. The cubic root of 513017473 is about 800.5295832038.

Adding to 513017473 its reverse (374710315), we get a palindrome (887727788).

The spelling of 513017473 in words is "five hundred thirteen million, seventeen thousand, four hundred seventy-three".