1005522113 has 2 divisors, whose sum is σ = 1005522114. Its totient is φ = 1005522112.

The previous prime is 1005522053. The next prime is 1005522139. The reversal of 1005522113 is 3112255001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 796199089 + 209323024 = 28217^2 + 14468^2 .

It is an emirp because it is prime and its reverse (3112255001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1005522113 - 2¹⁴ = 1005505729 is a prime.

It is a super-2 number, since 2×1005522113² = 2022149439463969538, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1005522143) 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, 502761056 + 502761057.

It is an arithmetic number, because the mean of its divisors is an integer number (502761057).

Almost surely, 2^1005522113 is an apocalyptic number.

It is an amenable number.

1005522113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005522113 is an equidigital number, since it uses as much as digits as its factorization.

1005522113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 1005522113 is about 31709.9686691741. The cubic root of 1005522113 is about 1001.8373264972.

Adding to 1005522113 its reverse (3112255001), we get a palindrome (4117777114).

The spelling of 1005522113 in words is "one billion, five million, five hundred twenty-two thousand, one hundred thirteen".