1009435681829 has 2 divisors, whose sum is σ = 1009435681830. Its totient is φ = 1009435681828.

The previous prime is 1009435681741. The next prime is 1009435681841. The reversal of 1009435681829 is 9281865349001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1009160884900 + 274796929 = 1004570^2 + 16577^2 .

It is a cyclic number.

It is not a de Polignac number, because 1009435681829 - 2³² = 1005140714533 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1009435681879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 504717840914 + 504717840915.

It is an arithmetic number, because the mean of its divisors is an integer number (504717840915).

Almost surely, 2^{1009435681829} is an apocalyptic number.

It is an amenable number.

1009435681829 is a deficient number, since it is larger than the sum of its proper divisors (1).

1009435681829 is an equidigital number, since it uses as much as digits as its factorization.

1009435681829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3732480, while the sum is 56.

The spelling of 1009435681829 in words is "one trillion, nine billion, four hundred thirty-five million, six hundred eighty-one thousand, eight hundred twenty-nine".