1010065056 has 384 divisors, whose sum is σ = 3722858496. Its totient is φ = 231137280.

The previous prime is 1010065037. The next prime is 1010065087. The reversal of 1010065056 is 6505600101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2209980 + ... + 2210436.

It is an arithmetic number, because the mean of its divisors is an integer number (9694944).

Almost surely, 2^1010065056 is an apocalyptic number.

1010065056 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 1010065056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1861429248).

1010065056 is an abundant number, since it is smaller than the sum of its proper divisors (2712793440).

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

1010065056 is a wasteful number, since it uses less digits than its factorization.

1010065056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 1010065056 is about 31781.5206684639. The cubic root of 1010065056 is about 1003.3438250382.

Adding to 1010065056 its reverse (6505600101), we get a palindrome (7515665157).

The spelling of 1010065056 in words is "one billion, ten million, sixty-five thousand, fifty-six".