1009281820 has 24 divisors (see below), whose sum is σ = 2121918624. Its totient is φ = 403250496.

The previous prime is 1009281817. The next prime is 1009281829. The reversal of 1009281820 is 281829001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009281829) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10707 + ... + 46186.

It is an arithmetic number, because the mean of its divisors is an integer number (88413276).

Almost surely, 2^1009281820 is an apocalyptic number.

1009281820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1009281820 is an abundant number, since it is smaller than the sum of its proper divisors (1112636804).

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

1009281820 is a wasteful number, since it uses less digits than its factorization.

1009281820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57789 (or 57787 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 31.

The square root of 1009281820 is about 31769.1960867756. The cubic root of 1009281820 is about 1003.0844165930.

It can be divided in two parts, 1009281 and 820, that added together give a palindrome (1010101).

The spelling of 1009281820 in words is "one billion, nine million, two hundred eighty-one thousand, eight hundred twenty".