2009282140321 has 2 divisors, whose sum is σ = 2009282140322. Its totient is φ = 2009282140320.

The previous prime is 2009282140273. The next prime is 2009282140351. The reversal of 2009282140321 is 1230412829002.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1928376595600 + 80905544721 = 1388660^2 + 284439^2 .

It is a cyclic number.

It is not a de Polignac number, because 2009282140321 - 2⁷ = 2009282140193 is a prime.

It is a super-3 number, since 3×2009282140321³ (a number of 38 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (2009282140351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1004641070160 + 1004641070161.

It is an arithmetic number, because the mean of its divisors is an integer number (1004641070161).

Almost surely, 2^{2009282140321} is an apocalyptic number.

It is an amenable number.

2009282140321 is a deficient number, since it is larger than the sum of its proper divisors (1).

2009282140321 is an equidigital number, since it uses as much as digits as its factorization.

2009282140321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 34.

Adding to 2009282140321 its reverse (1230412829002), we get a palindrome (3239694969323).

The spelling of 2009282140321 in words is "two trillion, nine billion, two hundred eighty-two million, one hundred forty thousand, three hundred twenty-one".