71971260419561 has 2 divisors, whose sum is σ = 71971260419562. Its totient is φ = 71971260419560.

The previous prime is 71971260419449. The next prime is 71971260419567. The reversal of 71971260419561 is 16591406217917.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61520005953961 + 10451254465600 = 7843469^2 + 3232840^2 .

It is an emirp because it is prime and its reverse (16591406217917) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 71971260419561 - 2³⁸ = 71696382512617 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 71971260419561.

It is not a weakly prime, because it can be changed into another prime (71971260419567) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 35985630209780 + 35985630209781.

It is an arithmetic number, because the mean of its divisors is an integer number (35985630209781).

Almost surely, 2^{71971260419561} is an apocalyptic number.

It is an amenable number.

71971260419561 is a deficient number, since it is larger than the sum of its proper divisors (1).

71971260419561 is an equidigital number, since it uses as much as digits as its factorization.

71971260419561 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5715360, while the sum is 59.

The spelling of 71971260419561 in words is "seventy-one trillion, nine hundred seventy-one billion, two hundred sixty million, four hundred nineteen thousand, five hundred sixty-one".