1829406113 has 2 divisors, whose sum is σ = 1829406114. Its totient is φ = 1829406112.

The previous prime is 1829406083. The next prime is 1829406149. The reversal of 1829406113 is 3116049281.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 980441344 + 848964769 = 31312^2 + 29137^2 .

It is an emirp because it is prime and its reverse (3116049281) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1829406113 - 2¹⁰ = 1829405089 is a prime.

It is not a weakly prime, because it can be changed into another prime (1829406413) 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 as a sum of consecutive naturals, namely, 914703056 + 914703057.

It is an arithmetic number, because the mean of its divisors is an integer number (914703057).

Almost surely, 2^1829406113 is an apocalyptic number.

It is an amenable number.

1829406113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1829406113 is an equidigital number, since it uses as much as digits as its factorization.

1829406113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 1829406113 is about 42771.5572898626. The cubic root of 1829406113 is about 1223.0288695216.

The spelling of 1829406113 in words is "one billion, eight hundred twenty-nine million, four hundred six thousand, one hundred thirteen".