1055006000 has 80 divisors (see below), whose sum is σ = 2580102720. Its totient is φ = 417190400.

The previous prime is 1055005997. The next prime is 1055006023. The reversal of 1055006000 is 6005501.

1055006000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1055006000² = 2226075320072000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1055006000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175037 + ... + 180963.

It is an arithmetic number, because the mean of its divisors is an integer number (32251284).

Almost surely, 2^1055006000 is an apocalyptic number.

1055006000 is a gapful number since it is divisible by the number (10) 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 1055006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290051360).

1055006000 is an abundant number, since it is smaller than the sum of its proper divisors (1525096720).

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

1055006000 is an equidigital number, since it uses as much as digits as its factorization.

1055006000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6039 (or 6023 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 1055006000 is about 32480.8559000529. The cubic root of 1055006000 is about 1018.0090601489.

The spelling of 1055006000 in words is "one billion, fifty-five million, six thousand".