1006011056 has 40 divisors (see below), whose sum is σ = 2022578880. Its totient is φ = 484337664.

The previous prime is 1006011049. The next prime is 1006011059. The reversal of 1006011056 is 6501106001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1006011059) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48665 + ... + 66183.

It is an arithmetic number, because the mean of its divisors is an integer number (50564472).

Almost surely, 2^1006011056 is an apocalyptic number.

1006011056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1006011056 is an abundant number, since it is smaller than the sum of its proper divisors (1016567824).

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

1006011056 is a wasteful number, since it uses less digits than its factorization.

1006011056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17661 (or 17655 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 1006011056 is about 31717.6773424537. The cubic root of 1006011056 is about 1001.9996839321. Note that the first 3 decimals are identical.

Adding to 1006011056 its reverse (6501106001), we get a palindrome (7507117057).

The spelling of 1006011056 in words is "one billion, six million, eleven thousand, fifty-six".