1005142181 has 2 divisors, whose sum is σ = 1005142182. Its totient is φ = 1005142180.

The previous prime is 1005142147. The next prime is 1005142207. The reversal of 1005142181 is 1812415001.

1005142181 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 987844900 + 17297281 = 31430^2 + 4159^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1005142181 is a prime.

It is a super-2 number, since 2×1005142181² = 2020621608050873522, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005142381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502571090 + 502571091.

It is an arithmetic number, because the mean of its divisors is an integer number (502571091).

Almost surely, 2^1005142181 is an apocalyptic number.

It is an amenable number.

1005142181 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005142181 is an equidigital number, since it uses as much as digits as its factorization.

1005142181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 320, while the sum is 23.

The square root of 1005142181 is about 31703.9773687782. The cubic root of 1005142181 is about 1001.7111306950.

Adding to 1005142181 its reverse (1812415001), we get a palindrome (2817557182).

The spelling of 1005142181 in words is "one billion, five million, one hundred forty-two thousand, one hundred eighty-one".