71122561687517 has 2 divisors, whose sum is σ = 71122561687518. Its totient is φ = 71122561687516.

The previous prime is 71122561687439. The next prime is 71122561687547. The reversal of 71122561687517 is 71578616522117.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 37797584304676 + 33324977382841 = 6147974^2 + 5772779^2 .

It is an emirp because it is prime and its reverse (71578616522117) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 71122561687517 - 2⁴⁰ = 70023050059741 is a prime.

It is a super-2 number, since 2×71122561687517² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (71122561687547) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 35561280843758 + 35561280843759.

It is an arithmetic number, because the mean of its divisors is an integer number (35561280843759).

Almost surely, 2^{71122561687517} is an apocalyptic number.

It is an amenable number.

71122561687517 is a deficient number, since it is larger than the sum of its proper divisors (1).

71122561687517 is an equidigital number, since it uses as much as digits as its factorization.

71122561687517 is an evil number, because the sum of its binary digits is even.

The product of its digits is 9878400, while the sum is 59.

The spelling of 71122561687517 in words is "seventy-one trillion, one hundred twenty-two billion, five hundred sixty-one million, six hundred eighty-seven thousand, five hundred seventeen".