1006541112 has 64 divisors (see below), whose sum is σ = 2652624000. Its totient is φ = 317395584.

The previous prime is 1006540963. The next prime is 1006541113. The reversal of 1006541112 is 2111456001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006541113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 460839 + ... + 463017.

It is an arithmetic number, because the mean of its divisors is an integer number (41447250).

Almost surely, 2^1006541112 is an apocalyptic number.

1006541112 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 1006541112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326312000).

1006541112 is an abundant number, since it is smaller than the sum of its proper divisors (1646082888).

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

1006541112 is a wasteful number, since it uses less digits than its factorization.

1006541112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3220 (or 3216 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 1006541112 is about 31726.0320872308. The cubic root of 1006541112 is about 1002.1756338513.

Adding to 1006541112 its reverse (2111456001), we get a palindrome (3117997113).

The spelling of 1006541112 in words is "one billion, six million, five hundred forty-one thousand, one hundred twelve".