2005124243031 has 48 divisors (see below), whose sum is σ = 3721353938400. Its totient is φ = 1057647943296.

The previous prime is 2005124243029. The next prime is 2005124243041. The reversal of 2005124243031 is 1303424215002.

2005124243031 is a `hidden beast` number, since 200 + 5 + 1 + 2 + 424 + 3 + 0 + 31 = 666.

It is not a de Polignac number, because 2005124243031 - 2¹ = 2005124243029 is a prime.

It is a super-2 number, since 2×2005124243031² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2005124242986 and 2005124243004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005124243041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58274686 + ... + 58309083.

It is an arithmetic number, because the mean of its divisors is an integer number (77528207050).

Almost surely, 2^{2005124243031} is an apocalyptic number.

2005124243031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2005124243031 is a deficient number, since it is larger than the sum of its proper divisors (1716229695369).

2005124243031 is a wasteful number, since it uses less digits than its factorization.

2005124243031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116583805 (or 116583792 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 2005124243031 its reverse (1303424215002), we get a palindrome (3308548458033).

The spelling of 2005124243031 in words is "two trillion, five billion, one hundred twenty-four million, two hundred forty-three thousand, thirty-one".