71611365609 has 27 divisors (see below), whose sum is σ = 120336023613. Its totient is φ = 40917569112.

The previous prime is 71611365569. The next prime is 71611365613. The reversal of 71611365609 is 90656311617.

The square root of 71611365609 is 267603.

It is a perfect power (a square), and thus also a powerful number.

71611365609 is a `hidden beast` number, since 7 + 1 + 6 + 1 + 1 + 36 + 5 + 609 = 666.

It is not a de Polignac number, because 71611365609 - 2⁷ = 71611365481 is a prime.

It is not an unprimeable number, because it can be changed into a prime (71611365409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5613292 + ... + 5626034.

Almost surely, 2^71611365609 is an apocalyptic number.

71611365609 is the 267603-rd square number.

71611365609 is the 133802-nd centered octagonal number.

It is an amenable number.

71611365609 is a deficient number, since it is larger than the sum of its proper divisors (48724658004).

71611365609 is an frugal number, since it uses more digits than its factorization.

71611365609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25506 (or 12753 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 71611365609 in words is "seventy-one billion, six hundred eleven million, three hundred sixty-five thousand, six hundred nine".