1009327650409 has 27 divisors (see below), whose sum is σ = 1104617551023. Its totient is φ = 921837443904.

The previous prime is 1009327650379. The next prime is 1009327650421. The reversal of 1009327650409 is 9040567239001.

1009327650409 = 1³ + 2³ + ... + 1417³.

It is a happy number.

The square root of 1009327650409 is 1004653.

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

1009327650409 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 13 ways, for example, as 974869896025 + 34457754384 = 987355^2 + 185628^2 .

It is not a de Polignac number, because 1009327650409 - 2¹³ = 1009327642217 is a prime.

It is a super-3 number, since 3×1009327650409³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1009327657409) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1423592947 + ... + 1423593655.

It is an arithmetic number, because the mean of its divisors is an integer number (40911761149).

Almost surely, 2^{1009327650409} is an apocalyptic number.

1009327650409 is the 1004653-rd square number.

1009327650409 is the 502327-th centered octagonal number.

It is an amenable number.

1009327650409 is a deficient number, since it is larger than the sum of its proper divisors (95289900614).

1009327650409 is an frugal number, since it uses more digits than its factorization.

1009327650409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 46.

The spelling of 1009327650409 in words is "one trillion, nine billion, three hundred twenty-seven million, six hundred fifty thousand, four hundred nine".