75671133752353 has 2 divisors, whose sum is σ = 75671133752354. Its totient is φ = 75671133752352.

The previous prime is 75671133752323. The next prime is 75671133752371. The reversal of 75671133752353 is 35325733117657.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 39178999231969 + 36492134520384 = 6259313^2 + 6040872^2 .

It is an emirp because it is prime and its reverse (35325733117657) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-75671133752353 is a prime.

It is a super-2 number, since 2×75671133752353² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (75671133752323) 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, 37835566876176 + 37835566876177.

It is an arithmetic number, because the mean of its divisors is an integer number (37835566876177).

Almost surely, 2^{75671133752353} is an apocalyptic number.

It is an amenable number.

75671133752353 is a deficient number, since it is larger than the sum of its proper divisors (1).

75671133752353 is an equidigital number, since it uses as much as digits as its factorization.

75671133752353 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 41674500, while the sum is 58.

The spelling of 75671133752353 in words is "seventy-five trillion, six hundred seventy-one billion, one hundred thirty-three million, seven hundred fifty-two thousand, three hundred fifty-three".