513500513 has 2 divisors, whose sum is σ = 513500514. Its totient is φ = 513500512.

The previous prime is 513500509. The next prime is 513500527. The reversal of 513500513 is 315005315.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 476679889 + 36820624 = 21833^2 + 6068^2 .

It is a cyclic number.

It is not a de Polignac number, because 513500513 - 2² = 513500509 is a prime.

It is not a weakly prime, because it can be changed into another prime (513500543) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256750256 + 256750257.

It is an arithmetic number, because the mean of its divisors is an integer number (256750257).

Almost surely, 2^513500513 is an apocalyptic number.

It is an amenable number.

513500513 is a deficient number, since it is larger than the sum of its proper divisors (1).

513500513 is an equidigital number, since it uses as much as digits as its factorization.

513500513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1125, while the sum is 23.

The square root of 513500513 is about 22660.5497064833. The cubic root of 513500513 is about 800.7807549667.

Adding to 513500513 its reverse (315005315), we get a palindrome (828505828).

The spelling of 513500513 in words is "five hundred thirteen million, five hundred thousand, five hundred thirteen".