1005300120441 has 8 divisors (see below), whose sum is σ = 1342806626304. Its totient is φ = 668996847440.

The previous prime is 1005300120373. The next prime is 1005300120469. The reversal of 1005300120441 is 1440210035001.

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 1005300120441 - 2¹⁴ = 1005300104057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1005300120481) 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, 300806265 + ... + 300809606.

It is an arithmetic number, because the mean of its divisors is an integer number (167850828288).

Almost surely, 2^{1005300120441} is an apocalyptic number.

It is an amenable number.

1005300120441 is a deficient number, since it is larger than the sum of its proper divisors (337506505863).

1005300120441 is an equidigital number, since it uses as much as digits as its factorization.

1005300120441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601616431.

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 1005300120441 its reverse (1440210035001), we get a palindrome (2445510155442).

The spelling of 1005300120441 in words is "one trillion, five billion, three hundred million, one hundred twenty thousand, four hundred forty-one".