7164129281 has 2 divisors, whose sum is σ = 7164129282. Its totient is φ = 7164129280.

The previous prime is 7164129277. The next prime is 7164129283. The reversal of 7164129281 is 1829214617.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6962233600 + 201895681 = 83440^2 + 14209^2 .

It is an emirp because it is prime and its reverse (1829214617) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 7164129281 - 2² = 7164129277 is a prime.

It is a super-2 number, since 2×7164129281² (a number of 21 digits) contains 22 as substring.

Together with 7164129283, 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 (7164129283) 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, 3582064640 + 3582064641.

It is an arithmetic number, because the mean of its divisors is an integer number (3582064641).

Almost surely, 2^7164129281 is an apocalyptic number.

It is an amenable number.

7164129281 is a deficient number, since it is larger than the sum of its proper divisors (1).

7164129281 is an equidigital number, since it uses as much as digits as its factorization.

7164129281 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 48384, while the sum is 41.

The square root of 7164129281 is about 84641.1795818088. The cubic root of 7164129281 is about 1927.7666884542.

The spelling of 7164129281 in words is "seven billion, one hundred sixty-four million, one hundred twenty-nine thousand, two hundred eighty-one".