513106459 has 2 divisors, whose sum is σ = 513106460. Its totient is φ = 513106458.

The previous prime is 513106423. The next prime is 513106463. The reversal of 513106459 is 954601315.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 513106459 - 2²⁵ = 479552027 is a prime.

It is equal to p_27008971 and since 513106459 and 27008971 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (513106259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256553229 + 256553230.

It is an arithmetic number, because the mean of its divisors is an integer number (256553230).

Almost surely, 2^513106459 is an apocalyptic number.

513106459 is a deficient number, since it is larger than the sum of its proper divisors (1).

513106459 is an equidigital number, since it uses as much as digits as its factorization.

513106459 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16200, while the sum is 34.

The square root of 513106459 is about 22651.8533237349. The cubic root of 513106459 is about 800.5758661025.

The spelling of 513106459 in words is "five hundred thirteen million, one hundred six thousand, four hundred fifty-nine".