320513 has 2 divisors, whose sum is σ = 320514. Its totient is φ = 320512.

The previous prime is 320483. The next prime is 320521. The reversal of 320513 is 315023.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 238144 + 82369 = 488^2 + 287^2 .

It is a cyclic number.

It is not a de Polignac number, because 320513 - 2⁶ = 320449 is a prime.

It is not a weakly prime, because it can be changed into another prime (320533) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 160256 + 160257.

It is an arithmetic number, because the mean of its divisors is an integer number (160257).

It is a Proth number, since it is equal to 313 ⋅ 2¹⁰ + 1 and 313 < 2¹⁰.

2³²⁰⁵¹³ is an apocalyptic number.

It is an amenable number.

320513 is a deficient number, since it is larger than the sum of its proper divisors (1).

320513 is an equidigital number, since it uses as much as digits as its factorization.

320513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 320513 is about 566.1386755911. The cubic root of 320513 is about 68.4355690885.

Adding to 320513 its reverse (315023), we get a palindrome (635536).

The spelling of 320513 in words is "three hundred twenty thousand, five hundred thirteen".