820374071031 has 40 divisors (see below), whose sum is σ = 1232400391200. Its totient is φ = 543838572288.

The previous prime is 820374071009. The next prime is 820374071039. The reversal of 820374071031 is 130170473028.

820374071031 is a `hidden beast` number, since 8 + 203 + 7 + 407 + 10 + 31 = 666.

It is not a de Polignac number, because 820374071031 - 2¹³ = 820374062839 is a prime.

It is a super-2 number, since 2×820374071031² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820374071039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28242091 + ... + 28271123.

It is an arithmetic number, because the mean of its divisors is an integer number (30810009780).

Almost surely, 2^820374071031 is an apocalyptic number.

820374071031 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

820374071031 is a deficient number, since it is larger than the sum of its proper divisors (412026320169).

820374071031 is a wasteful number, since it uses less digits than its factorization.

820374071031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30997 (or 30988 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 820374071031 in words is "eight hundred twenty billion, three hundred seventy-four million, seventy-one thousand, thirty-one".