459506813 has 2 divisors, whose sum is σ = 459506814. Its totient is φ = 459506812.

The previous prime is 459506791. The next prime is 459506819. The reversal of 459506813 is 318605954.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 441546169 + 17960644 = 21013^2 + 4238^2 .

It is a cyclic number.

It is not a de Polignac number, because 459506813 - 2¹⁰ = 459505789 is a prime.

It is a super-2 number, since 2×459506813² = 422293022386833938, which contains 22 as substring.

It is equal to p_24329858 and since 459506813 and 24329858 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (459506819) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 229753406 + 229753407.

It is an arithmetic number, because the mean of its divisors is an integer number (229753407).

Almost surely, 2^459506813 is an apocalyptic number.

It is an amenable number.

459506813 is a deficient number, since it is larger than the sum of its proper divisors (1).

459506813 is an equidigital number, since it uses as much as digits as its factorization.

459506813 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 129600, while the sum is 41.

The square root of 459506813 is about 21436.1100249089. The cubic root of 459506813 is about 771.6682853882.

The spelling of 459506813 in words is "four hundred fifty-nine million, five hundred six thousand, eight hundred thirteen".