1017112256 has 112 divisors (see below), whose sum is σ = 2273564160. Its totient is φ = 449095680.

The previous prime is 1017112253. The next prime is 1017112309. The reversal of 1017112256 is 6522117101.

It is not an unprimeable number, because it can be changed into a prime (1017112253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1146245 + ... + 1147131.

It is an arithmetic number, because the mean of its divisors is an integer number (20299680).

Almost surely, 2^1017112256 is an apocalyptic number.

1017112256 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 1017112256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136782080).

1017112256 is an abundant number, since it is smaller than the sum of its proper divisors (1256451904).

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

1017112256 is a wasteful number, since it uses less digits than its factorization.

1017112256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 26.

The square root of 1017112256 is about 31892.1974156689. The cubic root of 1017112256 is about 1005.6718545779.

Adding to 1017112256 its reverse (6522117101), we get a palindrome (7539229357).

The spelling of 1017112256 in words is "one billion, seventeen million, one hundred twelve thousand, two hundred fifty-six".