7975729446257 has 2 divisors, whose sum is σ = 7975729446258. Its totient is φ = 7975729446256.

The previous prime is 7975729446241. The next prime is 7975729446287. The reversal of 7975729446257 is 7526449275797.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6339724730161 + 1636004716096 = 2517881^2 + 1279064^2 .

It is a cyclic number.

It is not a de Polignac number, because 7975729446257 - 2⁴ = 7975729446241 is a prime.

It is a super-2 number, since 2×7975729446257² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (7975729446227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3987864723128 + 3987864723129.

It is an arithmetic number, because the mean of its divisors is an integer number (3987864723129).

Almost surely, 2^{7975729446257} is an apocalyptic number.

It is an amenable number.

7975729446257 is a deficient number, since it is larger than the sum of its proper divisors (1).

7975729446257 is an equidigital number, since it uses as much as digits as its factorization.

7975729446257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1867017600, while the sum is 74.

The spelling of 7975729446257 in words is "seven trillion, nine hundred seventy-five billion, seven hundred twenty-nine million, four hundred forty-six thousand, two hundred fifty-seven".