1009000180 has 12 divisors (see below), whose sum is σ = 2118900420. Its totient is φ = 403600064.

The previous prime is 1009000177. The next prime is 1009000189. The reversal of 1009000180 is 810009001.

1009000180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 731377936 + 277622244 = 27044^2 + 16662^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009000189) 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, 25224985 + ... + 25225024.

It is an arithmetic number, because the mean of its divisors is an integer number (176575035).

Almost surely, 2^1009000180 is an apocalyptic number.

1009000180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1009000180 is an abundant number, since it is smaller than the sum of its proper divisors (1109900240).

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

1009000180 is a wasteful number, since it uses less digits than its factorization.

1009000180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50450018 (or 50450016 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

The square root of 1009000180 is about 31764.7631818655. The cubic root of 1009000180 is about 1002.9911043744.

Adding to 1009000180 its reverse (810009001), we get a palindrome (1819009181).

The spelling of 1009000180 in words is "one billion, nine million, one hundred eighty", and thus it is an aban number.