1005145430329 has 2 divisors, whose sum is σ = 1005145430330. Its totient is φ = 1005145430328.

The previous prime is 1005145430293. The next prime is 1005145430357. The reversal of 1005145430329 is 9230345415001.

Together with previous prime (1005145430293) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 569179713600 + 435965716729 = 754440^2 + 660277^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005145430329 - 2¹¹ = 1005145428281 is a prime.

It is a super-2 number, since 2×1005145430329² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1005145434329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502572715164 + 502572715165.

It is an arithmetic number, because the mean of its divisors is an integer number (502572715165).

Almost surely, 2^{1005145430329} is an apocalyptic number.

It is an amenable number.

1005145430329 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005145430329 is an equidigital number, since it uses as much as digits as its factorization.

1005145430329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64800, while the sum is 37.

The spelling of 1005145430329 in words is "one trillion, five billion, one hundred forty-five million, four hundred thirty thousand, three hundred twenty-nine".