71057047657 has 2 divisors, whose sum is σ = 71057047658. Its totient is φ = 71057047656.

The previous prime is 71057047631. The next prime is 71057047669. The reversal of 71057047657 is 75674075017.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70230830121 + 826217536 = 265011^2 + 28744^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-71057047657 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 71057047657.

It is not a weakly prime, because it can be changed into another prime (71057047157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 35528523828 + 35528523829.

It is an arithmetic number, because the mean of its divisors is an integer number (35528523829).

Almost surely, 2^71057047657 is an apocalyptic number.

It is an amenable number.

71057047657 is a deficient number, since it is larger than the sum of its proper divisors (1).

71057047657 is an equidigital number, since it uses as much as digits as its factorization.

71057047657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1440600, while the sum is 49.

The spelling of 71057047657 in words is "seventy-one billion, fifty-seven million, forty-seven thousand, six hundred fifty-seven".