71283655638217 has 12 divisors (see below), whose sum is σ = 81054940441860. Its totient is φ = 62568725948960.

The previous prime is 71283655638211. The next prime is 71283655638229.

It is a happy number.

71283655638217 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 48370689649216 + 22912965989001 = 6954904^2 + 4786749^2 .

It is not a de Polignac number, because 71283655638217 - 2⁴³ = 62487562616009 is a prime.

It is a super-2 number, since 2×71283655638217² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (71283655638211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10157257198 + ... + 10157264215.

It is an arithmetic number, because the mean of its divisors is an integer number (6754578370155).

Almost surely, 2^{71283655638217} is an apocalyptic number.

It is an amenable number.

71283655638217 is a deficient number, since it is larger than the sum of its proper divisors (9771284803643).

71283655638217 is a wasteful number, since it uses less digits than its factorization.

71283655638217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20314521464 (or 20314521453 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 64.

The spelling of 71283655638217 in words is "seventy-one trillion, two hundred eighty-three billion, six hundred fifty-five million, six hundred thirty-eight thousand, two hundred seventeen".