200505013 has 2 divisors, whose sum is σ = 200505014. Its totient is φ = 200505012.

The previous prime is 200504999. The next prime is 200505017. The reversal of 200505013 is 310505002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 178008964 + 22496049 = 13342^2 + 4743^2 .

It is a cyclic number.

It is not a de Polignac number, because 200505013 - 2⁵ = 200504981 is a prime.

It is equal to p_11105404 and since 200505013 and 11105404 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 (200505017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100252506 + 100252507.

It is an arithmetic number, because the mean of its divisors is an integer number (100252507).

Almost surely, 2^200505013 is an apocalyptic number.

It is an amenable number.

200505013 is a deficient number, since it is larger than the sum of its proper divisors (1).

200505013 is an equidigital number, since it uses as much as digits as its factorization.

200505013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 200505013 is about 14159.9792725837. The cubic root of 200505013 is about 585.2953562483.

The spelling of 200505013 in words is "two hundred million, five hundred five thousand, thirteen".