1005141123 has 32 divisors (see below), whose sum is σ = 1714859520. Its totient is φ = 569967840.

The previous prime is 1005141121. The next prime is 1005141127. The reversal of 1005141123 is 3211415001.

It is not a de Polignac number, because 1005141123 - 2¹ = 1005141121 is a prime.

It is a super-2 number, since 2×1005141123² = 2020617354291402258, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1005141096 and 1005141105.

It is not an unprimeable number, because it can be changed into a prime (1005141121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4461 + ... + 45057.

It is an arithmetic number, because the mean of its divisors is an integer number (53589360).

Almost surely, 2^1005141123 is an apocalyptic number.

1005141123 is a deficient number, since it is larger than the sum of its proper divisors (709718397).

1005141123 is a wasteful number, since it uses less digits than its factorization.

1005141123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40744 (or 40738 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1005141123 is about 31703.9606831702. The cubic root of 1005141123 is about 1001.7107792321.

Adding to 1005141123 its reverse (3211415001), we get a palindrome (4216556124).

The spelling of 1005141123 in words is "one billion, five million, one hundred forty-one thousand, one hundred twenty-three".