1023265056 has 144 divisors (see below), whose sum is σ = 2978633952. Its totient is φ = 307338240.

The previous prime is 1023265051. The next prime is 1023265063. The reversal of 1023265056 is 6505623201.

It is not an unprimeable number, because it can be changed into a prime (1023265051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1591071 + ... + 1591713.

It is an arithmetic number, because the mean of its divisors is an integer number (20684958).

Almost surely, 2^1023265056 is an apocalyptic number.

1023265056 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 1023265056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489316976).

1023265056 is an abundant number, since it is smaller than the sum of its proper divisors (1955368896).

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

1023265056 is a wasteful number, since it uses less digits than its factorization.

1023265056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 1023265056 is about 31988.5144387794. The cubic root of 1023265056 is about 1007.6956438134.

Adding to 1023265056 its reverse (6505623201), we get a palindrome (7528888257).

The spelling of 1023265056 in words is "one billion, twenty-three million, two hundred sixty-five thousand, fifty-six".