1005510461 has 2 divisors, whose sum is σ = 1005510462. Its totient is φ = 1005510460.

The previous prime is 1005510413. The next prime is 1005510463. The reversal of 1005510461 is 1640155001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 734084836 + 271425625 = 27094^2 + 16475^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1005510461 is a prime.

It is a super-2 number, since 2×1005510461² = 2022102574360865042, which contains 22 as substring.

Together with 1005510463, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005510463) 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, 502755230 + 502755231.

It is an arithmetic number, because the mean of its divisors is an integer number (502755231).

Almost surely, 2^1005510461 is an apocalyptic number.

It is an amenable number.

1005510461 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005510461 is an equidigital number, since it uses as much as digits as its factorization.

1005510461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 600, while the sum is 23.

The square root of 1005510461 is about 31709.7849409295. The cubic root of 1005510461 is about 1001.8334567154.

Adding to 1005510461 its reverse (1640155001), we get a palindrome (2645665462).

The spelling of 1005510461 in words is "one billion, five million, five hundred ten thousand, four hundred sixty-one".