1006001056 has 48 divisors (see below), whose sum is σ = 2124208800. Its totient is φ = 467520768.

The previous prime is 1006001041. The next prime is 1006001099. The reversal of 1006001056 is 6501006001.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16615 + ... + 47833.

It is an arithmetic number, because the mean of its divisors is an integer number (44254350).

Almost surely, 2^1006001056 is an apocalyptic number.

1006001056 is a gapful number since it is divisible by the number (16) 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 1006001056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062104400).

1006001056 is an abundant number, since it is smaller than the sum of its proper divisors (1118207744).

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

1006001056 is a wasteful number, since it uses less digits than its factorization.

1006001056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31301 (or 31293 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 1006001056 is about 31717.5197012629. The cubic root of 1006001056 is about 1001.9963638791.

Adding to 1006001056 its reverse (6501006001), we get a palindrome (7507007057).

The spelling of 1006001056 in words is "one billion, six million, one thousand, fifty-six".