1005401001589 has 2 divisors, whose sum is σ = 1005401001590. Its totient is φ = 1005401001588.

The previous prime is 1005401001523. The next prime is 1005401001617. The reversal of 1005401001589 is 9851001045001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 981981902500 + 23419099089 = 990950^2 + 153033^2 .

It is an emirp because it is prime and its reverse (9851001045001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1005401001589 - 2¹¹ = 1005400999541 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005401001089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502700500794 + 502700500795.

It is an arithmetic number, because the mean of its divisors is an integer number (502700500795).

Almost surely, 2^{1005401001589} is an apocalyptic number.

It is an amenable number.

1005401001589 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005401001589 is an equidigital number, since it uses as much as digits as its factorization.

1005401001589 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7200, while the sum is 34.

The spelling of 1005401001589 in words is "one trillion, five billion, four hundred one million, one thousand, five hundred eighty-nine".