1005141330125 has 32 divisors (see below), whose sum is σ = 1300586886144. Its totient is φ = 774745176000.

The previous prime is 1005141330119. The next prime is 1005141330133. The reversal of 1005141330125 is 5210331415001.

It is not a de Polignac number, because 1005141330125 - 2³⁰ = 1004067588301 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1005141330094 and 1005141330103.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 308279 + ... + 1450971.

It is an arithmetic number, because the mean of its divisors is an integer number (40643340192).

Almost surely, 2^{1005141330125} is an apocalyptic number.

It is an amenable number.

1005141330125 is a deficient number, since it is larger than the sum of its proper divisors (295445556019).

1005141330125 is a wasteful number, since it uses less digits than its factorization.

1005141330125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142966 (or 1142956 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

Adding to 1005141330125 its reverse (5210331415001), we get a palindrome (6215472745126).

The spelling of 1005141330125 in words is "one trillion, five billion, one hundred forty-one million, three hundred thirty thousand, one hundred twenty-five".