71625765257 has 2 divisors, whose sum is σ = 71625765258. Its totient is φ = 71625765256.

The previous prime is 71625765227. The next prime is 71625765311. The reversal of 71625765257 is 75256752617.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55215130441 + 16410634816 = 234979^2 + 128104^2 .

It is a cyclic number.

It is not a de Polignac number, because 71625765257 - 2²⁴ = 71608988041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 71625765199 and 71625765208.

It is not a weakly prime, because it can be changed into another prime (71625765227) 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, 35812882628 + 35812882629.

It is an arithmetic number, because the mean of its divisors is an integer number (35812882629).

Almost surely, 2^71625765257 is an apocalyptic number.

It is an amenable number.

71625765257 is a deficient number, since it is larger than the sum of its proper divisors (1).

71625765257 is an equidigital number, since it uses as much as digits as its factorization.

71625765257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6174000, while the sum is 53.

The spelling of 71625765257 in words is "seventy-one billion, six hundred twenty-five million, seven hundred sixty-five thousand, two hundred fifty-seven".