7131661317 has 24 divisors (see below), whose sum is σ = 11240873280. Its totient is φ = 4321025280.

The previous prime is 7131661307. The next prime is 7131661337.

It is a happy number.

7131661317 is a `hidden beast` number, since 7 + 1 + 31 + 6 + 613 + 1 + 7 = 666.

7131661317 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 7131661317 - 2⁴ = 7131661301 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7131661307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 463573 + ... + 478709.

It is an arithmetic number, because the mean of its divisors is an integer number (468369720).

Almost surely, 2^7131661317 is an apocalyptic number.

It is an amenable number.

7131661317 is a deficient number, since it is larger than the sum of its proper divisors (4109211963).

7131661317 is a wasteful number, since it uses less digits than its factorization.

7131661317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19913 (or 19910 counting only the distinct ones).

The product of its digits is 15876, while the sum is 36.

The square root of 7131661317 is about 84449.1640988826. The cubic root of 7131661317 is about 1924.8500533791.

The spelling of 7131661317 in words is "seven billion, one hundred thirty-one million, six hundred sixty-one thousand, three hundred seventeen".