315302681 has 2 divisors, whose sum is σ = 315302682. Its totient is φ = 315302680.

The previous prime is 315302639. The next prime is 315302683. The reversal of 315302681 is 186203513.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 300710281 + 14592400 = 17341^2 + 3820^2 .

It is an emirp because it is prime and its reverse (186203513) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 315302681 - 2¹⁴ = 315286297 is a prime.

It is a super-2 number, since 2×315302681² = 198831561291575522, which contains 22 as substring.

Together with 315302683, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (315302683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157651340 + 157651341.

It is an arithmetic number, because the mean of its divisors is an integer number (157651341).

Almost surely, 2^315302681 is an apocalyptic number.

It is an amenable number.

315302681 is a deficient number, since it is larger than the sum of its proper divisors (1).

315302681 is an equidigital number, since it uses as much as digits as its factorization.

315302681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 315302681 is about 17756.7643730495. The cubic root of 315302681 is about 680.6270750996.

The spelling of 315302681 in words is "three hundred fifteen million, three hundred two thousand, six hundred eighty-one".