513173 has 2 divisors, whose sum is σ = 513174. Its totient is φ = 513172.

The previous prime is 513169. The next prime is 513203. The reversal of 513173 is 371315.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 289444 + 223729 = 538^2 + 473^2 .

It is a cyclic number.

It is not a de Polignac number, because 513173 - 2² = 513169 is a prime.

It is a super-3 number, since 3×513173³ = 405426983330726151, which contains 333 as substring.

It is an Ulam number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513103) 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, 256586 + 256587.

It is an arithmetic number, because the mean of its divisors is an integer number (256587).

2⁵¹³¹⁷³ is an apocalyptic number.

It is an amenable number.

513173 is a deficient number, since it is larger than the sum of its proper divisors (1).

513173 is an equidigital number, since it uses as much as digits as its factorization.

513173 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 315, while the sum is 20.

The square root of 513173 is about 716.3609425422. The cubic root of 513173 is about 80.0610471537.

Adding to 513173 its reverse (371315), we get a palindrome (884488).

It can be divided in two parts, 513 and 173, that added together give a palindrome (686).

The spelling of 513173 in words is "five hundred thirteen thousand, one hundred seventy-three".