1005112141 has 32 divisors (see below), whose sum is σ = 1206028800. Its totient is φ = 827599680.

The previous prime is 1005112133. The next prime is 1005112153. The reversal of 1005112141 is 1412115001.

It is a cyclic number.

It is not a de Polignac number, because 1005112141 - 2³ = 1005112133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005112441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 455146 + ... + 457348.

It is an arithmetic number, because the mean of its divisors is an integer number (37688400).

Almost surely, 2^1005112141 is an apocalyptic number.

1005112141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1005112141 is a deficient number, since it is larger than the sum of its proper divisors (200916659).

1005112141 is a wasteful number, since it uses less digits than its factorization.

1005112141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2329.

The product of its (nonzero) digits is 40, while the sum is 16.

The square root of 1005112141 is about 31703.5036076456. The cubic root of 1005112141 is about 1001.7011514428.

Adding to 1005112141 its reverse (1412115001), we get a palindrome (2417227142).

The spelling of 1005112141 in words is "one billion, five million, one hundred twelve thousand, one hundred forty-one".