1005354241 has 2 divisors, whose sum is σ = 1005354242. Its totient is φ = 1005354240.

The previous prime is 1005354227. The next prime is 1005354283. The reversal of 1005354241 is 1424535001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 992502016 + 12852225 = 31504^2 + 3585^2 .

It is an emirp because it is prime and its reverse (1424535001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1005354241 - 2⁵ = 1005354209 is a prime.

It is not a weakly prime, because it can be changed into another prime (1005354341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502677120 + 502677121.

It is an arithmetic number, because the mean of its divisors is an integer number (502677121).

Almost surely, 2^1005354241 is an apocalyptic number.

It is an amenable number.

1005354241 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005354241 is an equidigital number, since it uses as much as digits as its factorization.

1005354241 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 25.

The square root of 1005354241 is about 31707.3215677389. The cubic root of 1005354241 is about 1001.7815711194.

Adding to 1005354241 its reverse (1424535001), we get a palindrome (2429889242).

The spelling of 1005354241 in words is "one billion, five million, three hundred fifty-four thousand, two hundred forty-one".