1005104753141 has 2 divisors, whose sum is σ = 1005104753142. Its totient is φ = 1005104753140.

The previous prime is 1005104753113. The next prime is 1005104753167. The reversal of 1005104753141 is 1413574015001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1003761530641 + 1343222500 = 1001879^2 + 36650^2 .

It is an emirp because it is prime and its reverse (1413574015001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1005104753141 - 2¹⁸ = 1005104490997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1005104753098 and 1005104753107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005104753441) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502552376570 + 502552376571.

It is an arithmetic number, because the mean of its divisors is an integer number (502552376571).

Almost surely, 2^{1005104753141} is an apocalyptic number.

It is an amenable number.

1005104753141 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005104753141 is an equidigital number, since it uses as much as digits as its factorization.

1005104753141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8400, while the sum is 32.

Adding to 1005104753141 its reverse (1413574015001), we get a palindrome (2418678768142).

The spelling of 1005104753141 in words is "one trillion, five billion, one hundred four million, seven hundred fifty-three thousand, one hundred forty-one".