1980517009 has 9 divisors (see below), whose sum is σ = 1999521979. Its totient is φ = 1961692240.

The previous prime is 1980516971. The next prime is 1980517087. The reversal of 1980517009 is 9007150891.

It is a happy number.

The square root of 1980517009 is 44503.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 402203025 + 1578313984 = 20055^2 + 39728^2 .

It is not a de Polignac number, because 1980517009 - 2¹¹ = 1980514961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1980517109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8499957 + ... + 8500189.

Almost surely, 2^1980517009 is an apocalyptic number.

1980517009 is the 44503-rd square number.

1980517009 is the 22252-nd centered octagonal number.

It is an amenable number.

1980517009 is a deficient number, since it is larger than the sum of its proper divisors (19004970).

1980517009 is an frugal number, since it uses more digits than its factorization.

1980517009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 40.

The cubic root of 1980517009 is about 1255.8165210722.

The spelling of 1980517009 in words is "one billion, nine hundred eighty million, five hundred seventeen thousand, nine".