71611211617 has 4 divisors (see below), whose sum is σ = 78121321776. Its totient is φ = 65101101460.

The previous prime is 71611211563. The next prime is 71611211627.

71611211617 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 71611211617 - 2¹¹ = 71611209569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71611211627) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3255055063 + ... + 3255055084.

It is an arithmetic number, because the mean of its divisors is an integer number (19530330444).

Almost surely, 2^71611211617 is an apocalyptic number.

It is an amenable number.

71611211617 is a deficient number, since it is larger than the sum of its proper divisors (6510110159).

71611211617 is a wasteful number, since it uses less digits than its factorization.

71611211617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6510110158.

The product of its digits is 3528, while the sum is 34.

The spelling of 71611211617 in words is "seventy-one billion, six hundred eleven million, two hundred eleven thousand, six hundred seventeen".