200505210313 has 2 divisors, whose sum is σ = 200505210314. Its totient is φ = 200505210312.

The previous prime is 200505210287. The next prime is 200505210319. The reversal of 200505210313 is 313012505002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 159641800704 + 40863409609 = 399552^2 + 202147^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-200505210313 is a prime.

It is not a weakly prime, because it can be changed into another prime (200505210319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100252605156 + 100252605157.

It is an arithmetic number, because the mean of its divisors is an integer number (100252605157).

Almost surely, 2^200505210313 is an apocalyptic number.

It is an amenable number.

200505210313 is a deficient number, since it is larger than the sum of its proper divisors (1).

200505210313 is an equidigital number, since it uses as much as digits as its factorization.

200505210313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 900, while the sum is 22.

Adding to 200505210313 its reverse (313012505002), we get a palindrome (513517715315).

The spelling of 200505210313 in words is "two hundred billion, five hundred five million, two hundred ten thousand, three hundred thirteen".