1831053312 has 216 divisors, whose sum is σ = 5819969610. Its totient is φ = 554188800.

The previous prime is 1831053277. The next prime is 1831053353. The reversal of 1831053312 is 2133501381.

1831053312 is a `hidden beast` number, since 18 + 310 + 5 + 331 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1696121856 + 134931456 = 41184^2 + 11616^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2229862 + ... + 2230682.

Almost surely, 2^1831053312 is an apocalyptic number.

1831053312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1831053312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2909984805).

1831053312 is an abundant number, since it is smaller than the sum of its proper divisors (3988916298).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1831053312 is a wasteful number, since it uses less digits than its factorization.

1831053312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1831053312 is about 42790.8087327174. The cubic root of 1831053312 is about 1223.3958315242.

Adding to 1831053312 its reverse (2133501381), we get a palindrome (3964554693).

The spelling of 1831053312 in words is "one billion, eight hundred thirty-one million, fifty-three thousand, three hundred twelve".