201505362313 has 2 divisors, whose sum is σ = 201505362314. Its totient is φ = 201505362312.

The previous prime is 201505362283. The next prime is 201505362337. The reversal of 201505362313 is 313263505102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 158924214409 + 42581147904 = 398653^2 + 206352^2 .

It is a cyclic number.

It is not a de Polignac number, because 201505362313 - 2⁵ = 201505362281 is a prime.

It is a super-2 number, since 2×201505362313² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (201505362713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100752681156 + 100752681157.

It is an arithmetic number, because the mean of its divisors is an integer number (100752681157).

Almost surely, 2^201505362313 is an apocalyptic number.

It is an amenable number.

201505362313 is a deficient number, since it is larger than the sum of its proper divisors (1).

201505362313 is an equidigital number, since it uses as much as digits as its factorization.

201505362313 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 31.

Adding to 201505362313 its reverse (313263505102), we get a palindrome (514768867415).

The spelling of 201505362313 in words is "two hundred one billion, five hundred five million, three hundred sixty-two thousand, three hundred thirteen".