1005023141 has 2 divisors, whose sum is σ = 1005023142. Its totient is φ = 1005023140.

The previous prime is 1005023099. The next prime is 1005023143. The reversal of 1005023141 is 1413205001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1003559041 + 1464100 = 31679^2 + 1210^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005023141 - 2¹⁸ = 1004760997 is a prime.

Together with 1005023143, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005023143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502511570 + 502511571.

It is an arithmetic number, because the mean of its divisors is an integer number (502511571).

Almost surely, 2^1005023141 is an apocalyptic number.

It is an amenable number.

1005023141 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005023141 is an equidigital number, since it uses as much as digits as its factorization.

1005023141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 1005023141 is about 31702.0999462181. The cubic root of 1005023141 is about 1001.6715845814.

Adding to 1005023141 its reverse (1413205001), we get a palindrome (2418228142).

The spelling of 1005023141 in words is "one billion, five million, twenty-three thousand, one hundred forty-one".