831268011 has 32 divisors (see below), whose sum is σ = 1304427520. Its totient is φ = 460930176.

The previous prime is 831268003. The next prime is 831268019. The reversal of 831268011 is 110862138.

It is an interprime number because it is at equal distance from previous prime (831268003) and next prime (831268019).

It is not a de Polignac number, because 831268011 - 2³ = 831268003 is a prime.

It is a super-2 number, since 2×831268011² = 1382013012223792242, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 831268011.

It is not an unprimeable number, because it can be changed into a prime (831268019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 339885 + ... + 342321.

It is an arithmetic number, because the mean of its divisors is an integer number (40763360).

Almost surely, 2^831268011 is an apocalyptic number.

831268011 is a deficient number, since it is larger than the sum of its proper divisors (473159509).

831268011 is a wasteful number, since it uses less digits than its factorization.

831268011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2923.

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 831268011 is about 28831.7188353383. The cubic root of 831268011 is about 940.2579686577.

The spelling of 831268011 in words is "eight hundred thirty-one million, two hundred sixty-eight thousand, eleven".