2005350831 has 32 divisors (see below), whose sum is σ = 3245088000. Its totient is φ = 1213820640.

The previous prime is 2005350817. The next prime is 2005350857. The reversal of 2005350831 is 1380535002.

It is not a de Polignac number, because 2005350831 - 2¹³ = 2005342639 is a prime.

It is a super-2 number, since 2×2005350831² = 8042863910784781122, which 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 = 2005350795 and 2005350804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005350871) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 256620 + ... + 264318.

It is an arithmetic number, because the mean of its divisors is an integer number (101409000).

Almost surely, 2^2005350831 is an apocalyptic number.

2005350831 is a deficient number, since it is larger than the sum of its proper divisors (1239737169).

2005350831 is a wasteful number, since it uses less digits than its factorization.

2005350831 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8596 (or 8590 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 2005350831 is about 44781.1436991062. The cubic root of 2005350831 is about 1261.0436534475.

Adding to 2005350831 its reverse (1380535002), we get a palindrome (3385885833).

It can be divided in two parts, 2005 and 350831, that added together give a square (352836 = 594²).

The spelling of 2005350831 in words is "two billion, five million, three hundred fifty thousand, eight hundred thirty-one".