1020385056 has 72 divisors (see below), whose sum is σ = 2703864240. Its totient is φ = 336938112.

The previous prime is 1020385031. The next prime is 1020385073. The reversal of 1020385056 is 6505830201.

1020385056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1548055 + ... + 1548713.

It is an arithmetic number, because the mean of its divisors is an integer number (37553670).

Almost surely, 2^1020385056 is an apocalyptic number.

1020385056 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 1020385056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351932120).

1020385056 is an abundant number, since it is smaller than the sum of its proper divisors (1683479184).

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

1020385056 is an equidigital number, since it uses as much as digits as its factorization.

1020385056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 1020385056 is about 31943.4665620374. The cubic root of 1020385056 is about 1006.7493622888.

It can be divided in two parts, 10203 and 85056, that added together give a palindrome (95259).

The spelling of 1020385056 in words is "one billion, twenty million, three hundred eighty-five thousand, fifty-six".