513353 has 2 divisors, whose sum is σ = 513354. Its totient is φ = 513352.

The previous prime is 513347. The next prime is 513367. The reversal of 513353 is 353315.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 405769 + 107584 = 637^2 + 328^2 .

It is a cyclic number.

It is not a de Polignac number, because 513353 - 2¹⁶ = 447817 is a prime.

It is not a weakly prime, because it can be changed into another prime (513313) 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, 256676 + 256677.

It is an arithmetic number, because the mean of its divisors is an integer number (256677).

2⁵¹³³⁵³ is an apocalyptic number.

It is an amenable number.

513353 is a deficient number, since it is larger than the sum of its proper divisors (1).

513353 is an equidigital number, since it uses as much as digits as its factorization.

513353 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 675, while the sum is 20.

The square root of 513353 is about 716.4865665175. The cubic root of 513353 is about 80.0704067679.

Adding to 513353 its reverse (353315), we get a palindrome (866668).

The spelling of 513353 in words is "five hundred thirteen thousand, three hundred fifty-three".