1012535568 has 120 divisors (see below), whose sum is σ = 3101230080. Its totient is φ = 305844480.

The previous prime is 1012535519. The next prime is 1012535569. The reversal of 1012535568 is 8655352101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012535569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 605838 + ... + 607506.

It is an arithmetic number, because the mean of its divisors is an integer number (25843584).

Almost surely, 2^1012535568 is an apocalyptic number.

1012535568 is a gapful number since it is divisible by the number (18) 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 1012535568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1550615040).

1012535568 is an abundant number, since it is smaller than the sum of its proper divisors (2088694512).

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

1012535568 is a wasteful number, since it uses less digits than its factorization.

1012535568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2077 (or 2068 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 1012535568 is about 31820.3640456862. The cubic root of 1012535568 is about 1004.1611832034.

Adding to 1012535568 its reverse (8655352101), we get a palindrome (9667887669).

The spelling of 1012535568 in words is "one billion, twelve million, five hundred thirty-five thousand, five hundred sixty-eight".