71610611601617 has 6 divisors (see below), whose sum is σ = 78712490438274. Its totient is φ = 65100556001360.

The previous prime is 71610611601593. The next prime is 71610611601643.

71610611601617 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 58110799825936 + 13499811775681 = 7623044^2 + 3674209^2 .

It is not a de Polignac number, because 71610611601617 - 2²⁸ = 71610343166161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (71610611601017) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 295911618068 + ... + 295911618309.

It is an arithmetic number, because the mean of its divisors is an integer number (13118748406379).

Almost surely, 2^{71610611601617} is an apocalyptic number.

It is an amenable number.

71610611601617 is a deficient number, since it is larger than the sum of its proper divisors (7101878836657).

71610611601617 is a wasteful number, since it uses less digits than its factorization.

71610611601617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591823236399 (or 591823236388 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 44.

It can be divided in two parts, 7161061 and 1601617, that added together give a palindrome (8762678).

The spelling of 71610611601617 in words is "seventy-one trillion, six hundred ten billion, six hundred eleven million, six hundred one thousand, six hundred seventeen".