871315201 has 2 divisors, whose sum is σ = 871315202. Its totient is φ = 871315200.

The previous prime is 871315157. The next prime is 871315217. The reversal of 871315201 is 102513178.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 868834576 + 2480625 = 29476^2 + 1575^2 .

It is a cyclic number.

It is not a de Polignac number, because 871315201 - 2¹⁹ = 870790913 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 871315201.

It is not a weakly prime, because it can be changed into another prime (871315241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 435657600 + 435657601.

It is an arithmetic number, because the mean of its divisors is an integer number (435657601).

Almost surely, 2^871315201 is an apocalyptic number.

It is an amenable number.

871315201 is a deficient number, since it is larger than the sum of its proper divisors (1).

871315201 is an equidigital number, since it uses as much as digits as its factorization.

871315201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1680, while the sum is 28.

The square root of 871315201 is about 29518.0487329363. The cubic root of 871315201 is about 955.1210800129.

Adding to 871315201 its reverse (102513178), we get a palindrome (973828379).

The spelling of 871315201 in words is "eight hundred seventy-one million, three hundred fifteen thousand, two hundred one".