1000013056 has 72 divisors (see below), whose sum is σ = 2315606720. Its totient is φ = 422129664.

The previous prime is 1000013039. The next prime is 1000013081. The reversal of 1000013056 is 6503100001.

It is a super-2 number, since 2×1000013056² = 2000052224340918272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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, 115900 + ... + 124228.

Almost surely, 2^1000013056 is an apocalyptic number.

1000013056 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 1000013056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157803360).

1000013056 is an abundant number, since it is smaller than the sum of its proper divisors (1315593664).

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

1000013056 is an frugal number, since it uses more digits than its factorization.

1000013056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8419 (or 8405 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 1000013056 is about 31622.9830344957. The cubic root of 1000013056 is about 1000.0043519811.

Adding to 1000013056 its reverse (6503100001), we get a palindrome (7503113057).

The spelling of 1000013056 in words is "one billion, thirteen thousand, fifty-six".