1009182820 has 12 divisors (see below), whose sum is σ = 2119283964. Its totient is φ = 403673120.

The previous prime is 1009182761. The next prime is 1009182829. The reversal of 1009182820 is 282819001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 507781156 + 501401664 = 22534^2 + 22392^2 .

It is not an unprimeable number, because it can be changed into a prime (1009182829) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25229551 + ... + 25229590.

It is an arithmetic number, because the mean of its divisors is an integer number (176606997).

Almost surely, 2^1009182820 is an apocalyptic number.

1009182820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1009182820 is an abundant number, since it is smaller than the sum of its proper divisors (1110101144).

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

1009182820 is a wasteful number, since it uses less digits than its factorization.

1009182820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50459150 (or 50459148 counting only the distinct ones).

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

The square root of 1009182820 is about 31767.6379354840. The cubic root of 1009182820 is about 1003.0516181540.

The spelling of 1009182820 in words is "one billion, nine million, one hundred eighty-two thousand, eight hundred twenty".