1005531121441 has 8 divisors (see below), whose sum is σ = 1253649190464. Its totient is φ = 783530743920.

The previous prime is 1005531121429. The next prime is 1005531121451. The reversal of 1005531121441 is 1441211355001.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 1005531121441 - 2⁵ = 1005531121409 is a prime.

It is a super-2 number, since 2×1005531121441² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1005531121451) 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 in 7 ways as a sum of consecutive naturals, for example, 6529422790 + ... + 6529422943.

It is an arithmetic number, because the mean of its divisors is an integer number (156706148808).

Almost surely, 2^{1005531121441} is an apocalyptic number.

1005531121441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1005531121441 is a deficient number, since it is larger than the sum of its proper divisors (248118069023).

1005531121441 is a wasteful number, since it uses less digits than its factorization.

1005531121441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13058845751.

The product of its (nonzero) digits is 2400, while the sum is 28.

Adding to 1005531121441 its reverse (1441211355001), we get a palindrome (2446742476442).

The spelling of 1005531121441 in words is "one trillion, five billion, five hundred thirty-one million, one hundred twenty-one thousand, four hundred forty-one".