315958681843201 has 2 divisors, whose sum is σ = 315958681843202. Its totient is φ = 315958681843200.

The previous prime is 315958681843109. The next prime is 315958681843213. The reversal of 315958681843201 is 102348186859513.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 299407616953201 + 16551064890000 = 17303399^2 + 4068300^2 .

It is a cyclic number.

It is not a de Polignac number, because 315958681843201 - 2⁷ = 315958681843073 is a prime.

It is a super-2 number, since 2×315958681843201² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (315958681847201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157979340921600 + 157979340921601.

It is an arithmetic number, because the mean of its divisors is an integer number (157979340921601).

Almost surely, 2^{315958681843201} is an apocalyptic number.

It is an amenable number.

315958681843201 is a deficient number, since it is larger than the sum of its proper divisors (1).

315958681843201 is an equidigital number, since it uses as much as digits as its factorization.

315958681843201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 49766400, while the sum is 64.

The spelling of 315958681843201 in words is "three hundred fifteen trillion, nine hundred fifty-eight billion, six hundred eighty-one million, eight hundred forty-three thousand, two hundred one".