71580217126057 has 2 divisors, whose sum is σ = 71580217126058. Its totient is φ = 71580217126056.

The previous prime is 71580217126037. The next prime is 71580217126069. The reversal of 71580217126057 is 75062171208517.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56824293399721 + 14755923726336 = 7538189^2 + 3841344^2 .

It is a cyclic number.

It is not a de Polignac number, because 71580217126057 - 2²⁷ = 71580082908329 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 71580217125995 and 71580217126013.

It is not a weakly prime, because it can be changed into another prime (71580217126037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 35790108563028 + 35790108563029.

It is an arithmetic number, because the mean of its divisors is an integer number (35790108563029).

Almost surely, 2^{71580217126057} is an apocalyptic number.

It is an amenable number.

71580217126057 is a deficient number, since it is larger than the sum of its proper divisors (1).

71580217126057 is an equidigital number, since it uses as much as digits as its factorization.

71580217126057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1646400, while the sum is 52.

The spelling of 71580217126057 in words is "seventy-one trillion, five hundred eighty billion, two hundred seventeen million, one hundred twenty-six thousand, fifty-seven".