513239 has 2 divisors, whose sum is σ = 513240. Its totient is φ = 513238.

The previous prime is 513203. The next prime is 513257. The reversal of 513239 is 932315.

It is a happy number.

513239 is nontrivially palindromic in base 16.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 513239 - 2¹⁶ = 447703 is a prime.

It is a super-2 number, since 2×513239² = 526828542242, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256619 + 256620.

It is an arithmetic number, because the mean of its divisors is an integer number (256620).

2⁵¹³²³⁹ is an apocalyptic number.

513239 is a deficient number, since it is larger than the sum of its proper divisors (1).

513239 is an equidigital number, since it uses as much as digits as its factorization.

513239 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 810, while the sum is 23.

The square root of 513239 is about 716.4070072242. The cubic root of 513239 is about 80.0644792663.

The spelling of 513239 in words is "five hundred thirteen thousand, two hundred thirty-nine".