827311864332231 has 20 divisors (see below), whose sum is σ = 1235864053181472. Its totient is φ = 551539850472288.

The previous prime is 827311864332223. The next prime is 827311864332251. The reversal of 827311864332231 is 132233468113728.

It is a happy number.

827311864332231 is a `hidden beast` number, since 8 + 2 + 7 + 3 + 1 + 18 + 64 + 332 + 231 = 666.

It is not a de Polignac number, because 827311864332231 - 2³ = 827311864332223 is a prime.

It is a super-2 number, since 2×827311864332231² (a number of 31 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827311864332251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19901475 + ... + 45284571.

Almost surely, 2^{827311864332231} is an apocalyptic number.

827311864332231 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

827311864332231 is a deficient number, since it is larger than the sum of its proper divisors (408552188849241).

827311864332231 is a wasteful number, since it uses less digits than its factorization.

827311864332231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25785492 (or 25785483 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 827311864332231 in words is "eight hundred twenty-seven trillion, three hundred eleven billion, eight hundred sixty-four million, three hundred thirty-two thousand, two hundred thirty-one".