2131085817 has 24 divisors (see below), whose sum is σ = 3570497216. Its totient is φ = 1199585376.

The previous prime is 2131085791. The next prime is 2131085833. The reversal of 2131085817 is 7185801312.

It is not a de Polignac number, because 2131085817 - 2⁷ = 2131085689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2131085857) 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 23 ways as a sum of consecutive naturals, for example, 248218 + ... + 256659.

Almost surely, 2^2131085817 is an apocalyptic number.

It is an amenable number.

2131085817 is a deficient number, since it is larger than the sum of its proper divisors (1439411399).

2131085817 is a wasteful number, since it uses less digits than its factorization.

2131085817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504957 (or 504954 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 2131085817 is about 46163.6850457153. The cubic root of 2131085817 is about 1286.8669470492.

The spelling of 2131085817 in words is "two billion, one hundred thirty-one million, eighty-five thousand, eight hundred seventeen".