1005451129 has 2 divisors, whose sum is σ = 1005451130. Its totient is φ = 1005451128.

The previous prime is 1005451123. The next prime is 1005451133. The reversal of 1005451129 is 9211545001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 724955625 + 280495504 = 26925^2 + 16748^2 .

It is an emirp because it is prime and its reverse (9211545001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1005451129 - 2³ = 1005451121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1005451097 and 1005451106.

It is not a weakly prime, because it can be changed into another prime (1005451121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502725564 + 502725565.

It is an arithmetic number, because the mean of its divisors is an integer number (502725565).

Almost surely, 2^1005451129 is an apocalyptic number.

It is an amenable number.

1005451129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005451129 is an equidigital number, since it uses as much as digits as its factorization.

1005451129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1800, while the sum is 28.

The square root of 1005451129 is about 31708.8493799444. The cubic root of 1005451129 is about 1001.8137513173.

The spelling of 1005451129 in words is "one billion, five million, four hundred fifty-one thousand, one hundred twenty-nine".