1829281829281 has 8 divisors (see below), whose sum is σ = 1832859905184. Its totient is φ = 1825704011040.

The previous prime is 1829281829267. The next prime is 1829281829321.

1829281829281 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1829281829281 is a prime.

It is a super-2 number, since 2×1829281829281² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1829281829231) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20567950 + ... + 20656696.

It is an arithmetic number, because the mean of its divisors is an integer number (229107488148).

Almost surely, 2^{1829281829281} is an apocalyptic number.

It is an amenable number.

1829281829281 is a deficient number, since it is larger than the sum of its proper divisors (3578075903).

1829281829281 is an equidigital number, since it uses as much as digits as its factorization.

1829281829281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128831.

The product of its digits is 5308416, while the sum is 61.

It can be divided in two parts, 1829281 and 829281, that added together give a palindrome (2658562).

The spelling of 1829281829281 in words is "one trillion, eight hundred twenty-nine billion, two hundred eighty-one million, eight hundred twenty-nine thousand, two hundred eighty-one".