71586610530073 has 2 divisors, whose sum is σ = 71586610530074. Its totient is φ = 71586610530072.

The previous prime is 71586610530047. The next prime is 71586610530133. The reversal of 71586610530073 is 37003501668517.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 49711411599424 + 21875198930649 = 7050632^2 + 4677093^2 .

It is a cyclic number.

It is not a de Polignac number, because 71586610530073 - 2⁵ = 71586610530041 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 71586610530073.

It is not a weakly prime, because it can be changed into another prime (71586610536073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 35793305265036 + 35793305265037.

It is an arithmetic number, because the mean of its divisors is an integer number (35793305265037).

Almost surely, 2^{71586610530073} is an apocalyptic number.

It is an amenable number.

71586610530073 is a deficient number, since it is larger than the sum of its proper divisors (1).

71586610530073 is an equidigital number, since it uses as much as digits as its factorization.

71586610530073 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3175200, while the sum is 52.

The spelling of 71586610530073 in words is "seventy-one trillion, five hundred eighty-six billion, six hundred ten million, five hundred thirty thousand, seventy-three".