1005655056 has 80 divisors (see below), whose sum is σ = 2984344704. Its totient is φ = 285852672.

The previous prime is 1005654997. The next prime is 1005655073. The reversal of 1005655056 is 6505565001.

It is a super-2 number, since 2×1005655056² = 2022684183316726272, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58596 + ... + 73788.

Almost surely, 2^1005655056 is an apocalyptic number.

1005655056 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 1005655056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492172352).

1005655056 is an abundant number, since it is smaller than the sum of its proper divisors (1978689648).

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

1005655056 is a wasteful number, since it uses less digits than its factorization.

1005655056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15408 (or 15402 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 33.

The square root of 1005655056 is about 31712.0648334352. The cubic root of 1005655056 is about 1001.8814764928.

The spelling of 1005655056 in words is "one billion, five million, six hundred fifty-five thousand, fifty-six".