513673 has 2 divisors, whose sum is σ = 513674. Its totient is φ = 513672.

The previous prime is 513649. The next prime is 513679. The reversal of 513673 is 376315.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 374544 + 139129 = 612^2 + 373^2 .

It is a cyclic number.

It is not a de Polignac number, because 513673 - 2⁵ = 513641 is a prime.

It is not a weakly prime, because it can be changed into another prime (513679) 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, 256836 + 256837.

It is an arithmetic number, because the mean of its divisors is an integer number (256837).

2⁵¹³⁶⁷³ is an apocalyptic number.

It is an amenable number.

513673 is a deficient number, since it is larger than the sum of its proper divisors (1).

513673 is an equidigital number, since it uses as much as digits as its factorization.

513673 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1890, while the sum is 25.

The square root of 513673 is about 716.7098436606. The cubic root of 513673 is about 80.0870406813.

Adding to 513673 its reverse (376315), we get a palindrome (889988).

The spelling of 513673 in words is "five hundred thirteen thousand, six hundred seventy-three".