1005054461 has 2 divisors, whose sum is σ = 1005054462. Its totient is φ = 1005054460.

The previous prime is 1005054397. The next prime is 1005054469. The reversal of 1005054461 is 1644505001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 843612025 + 161442436 = 29045^2 + 12706^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005054461 - 2⁶ = 1005054397 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1005054461.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005054469) 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, 502527230 + 502527231.

It is an arithmetic number, because the mean of its divisors is an integer number (502527231).

Almost surely, 2^1005054461 is an apocalyptic number.

It is an amenable number.

1005054461 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005054461 is an equidigital number, since it uses as much as digits as its factorization.

1005054461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 1005054461 is about 31702.5939159558. The cubic root of 1005054461 is about 1001.6819896580.

Adding to 1005054461 its reverse (1644505001), we get a palindrome (2649559462).

The spelling of 1005054461 in words is "one billion, five million, fifty-four thousand, four hundred sixty-one".