1131006006 has 48 divisors (see below), whose sum is σ = 2656573920. Its totient is φ = 345686400.

The previous prime is 1131005957. The next prime is 1131006007. The reversal of 1131006006 is 6006001311.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 1131006006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131006007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19330 + ... + 51338.

It is an arithmetic number, because the mean of its divisors is an integer number (55345290).

Almost surely, 2^1131006006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1131006006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328286960).

1131006006 is an abundant number, since it is smaller than the sum of its proper divisors (1525567914).

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

1131006006 is a wasteful number, since it uses less digits than its factorization.

1131006006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32181 (or 32178 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1131006006 is about 33630.4327358421. The cubic root of 1131006006 is about 1041.8894418406.

Adding to 1131006006 its reverse (6006001311), we get a palindrome (7137007317).

The spelling of 1131006006 in words is "one billion, one hundred thirty-one million, six thousand, six".