1005413281 has 2 divisors, whose sum is σ = 1005413282. Its totient is φ = 1005413280.

The previous prime is 1005413273. The next prime is 1005413309. The reversal of 1005413281 is 1823145001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 884765025 + 120648256 = 29745^2 + 10984^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005413281 - 2³ = 1005413273 is a prime.

It is a super-2 number, since 2×1005413281² = 2021711731222369922, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1005410281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502706640 + 502706641.

It is an arithmetic number, because the mean of its divisors is an integer number (502706641).

Almost surely, 2^1005413281 is an apocalyptic number.

It is an amenable number.

1005413281 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005413281 is an equidigital number, since it uses as much as digits as its factorization.

1005413281 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 1005413281 is about 31708.2525693233. The cubic root of 1005413281 is about 1001.8011807999.

Adding to 1005413281 its reverse (1823145001), we get a palindrome (2828558282).

The spelling of 1005413281 in words is "one billion, five million, four hundred thirteen thousand, two hundred eighty-one".