1829281829321 has 2 divisors, whose sum is σ = 1829281829322. Its totient is φ = 1829281829320.

The previous prime is 1829281829267. The next prime is 1829281829327. The reversal of 1829281829321 is 1239281829281.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1591220782096 + 238061047225 = 1261436^2 + 487915^2 .

It is an emirp because it is prime and its reverse (1239281829281) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1829281829321 is a prime.

It is a super-2 number, since 2×1829281829321² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1829281829327) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 914640914660 + 914640914661.

It is an arithmetic number, because the mean of its divisors is an integer number (914640914661).

Almost surely, 2^{1829281829321} is an apocalyptic number.

It is an amenable number.

1829281829321 is a deficient number, since it is larger than the sum of its proper divisors (1).

1829281829321 is an equidigital number, since it uses as much as digits as its factorization.

1829281829321 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1990656, while the sum is 56.

The spelling of 1829281829321 in words is "one trillion, eight hundred twenty-nine billion, two hundred eighty-one million, eight hundred twenty-nine thousand, three hundred twenty-one".