75113525604961 has 2 divisors, whose sum is σ = 75113525604962. Its totient is φ = 75113525604960.

The previous prime is 75113525604763. The next prime is 75113525605007. The reversal of 75113525604961 is 16940652531157.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70295145008400 + 4818380596561 = 8384220^2 + 2195081^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-75113525604961 is a prime.

It is a super-2 number, since 2×75113525604961² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (75113525604361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 37556762802480 + 37556762802481.

It is an arithmetic number, because the mean of its divisors is an integer number (37556762802481).

Almost surely, 2^{75113525604961} is an apocalyptic number.

It is an amenable number.

75113525604961 is a deficient number, since it is larger than the sum of its proper divisors (1).

75113525604961 is an equidigital number, since it uses as much as digits as its factorization.

75113525604961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6804000, while the sum is 55.

The spelling of 75113525604961 in words is "seventy-five trillion, one hundred thirteen billion, five hundred twenty-five million, six hundred four thousand, nine hundred sixty-one".