1000005001056 has 72 divisors (see below), whose sum is σ = 2843916743304. Its totient is φ = 333317122560.

The previous prime is 1000005001043. The next prime is 1000005001091. The reversal of 1000005001056 is 6501005000001.

1000005001056 is a `hidden beast` number, since 100 + 0 + 0 + 0 + 500 + 10 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1000005001056² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5970291 + ... + 6135501.

It is an arithmetic number, because the mean of its divisors is an integer number (39498843657).

Almost surely, 2^{1000005001056} is an apocalyptic number.

1000005001056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1000005001056 is an abundant number, since it is smaller than the sum of its proper divisors (1843911742248).

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

1000005001056 is a wasteful number, since it uses less digits than its factorization.

1000005001056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186244 (or 186233 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The spelling of 1000005001056 in words is "one trillion, five million, one thousand, fifty-six".