513059 has 2 divisors, whose sum is σ = 513060. Its totient is φ = 513058.

The previous prime is 513053. The next prime is 513067. The reversal of 513059 is 950315.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 513059 - 2⁸ = 512803 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 513059.

It is not a weakly prime, because it can be changed into another prime (513053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256529 + 256530.

It is an arithmetic number, because the mean of its divisors is an integer number (256530).

2⁵¹³⁰⁵⁹ is an apocalyptic number.

513059 is a deficient number, since it is larger than the sum of its proper divisors (1).

513059 is an equidigital number, since it uses as much as digits as its factorization.

513059 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 675, while the sum is 23.

The square root of 513059 is about 716.2813692956. The cubic root of 513059 is about 80.0551182660.

The spelling of 513059 in words is "five hundred thirteen thousand, fifty-nine".