79258085297 has 2 divisors, whose sum is σ = 79258085298. Its totient is φ = 79258085296.

The previous prime is 79258085251. The next prime is 79258085303.

It is a happy number.

79258085297 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58699113841 + 20558971456 = 242279^2 + 143384^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 79258085297 - 2¹⁰ = 79258084273 is a prime.

It is not a weakly prime, because it can be changed into another prime (79258085897) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 39629042648 + 39629042649.

It is an arithmetic number, because the mean of its divisors is an integer number (39629042649).

Almost surely, 2^79258085297 is an apocalyptic number.

It is an amenable number.

79258085297 is a deficient number, since it is larger than the sum of its proper divisors (1).

79258085297 is an equidigital number, since it uses as much as digits as its factorization.

79258085297 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 25401600, while the sum is 62.

The spelling of 79258085297 in words is "seventy-nine billion, two hundred fifty-eight million, eighty-five thousand, two hundred ninety-seven".