1005222333041 has 24 divisors (see below), whose sum is σ = 1074546872760. Its totient is φ = 940147310592.

The previous prime is 1005222333023. The next prime is 1005222333043. The reversal of 1005222333041 is 1403332225001.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 17973424225 + 987248908816 = 134065^2 + 993604^2 .

It is not a de Polignac number, because 1005222333041 - 2⁶ = 1005222332977 is a prime.

It is a super-2 number, since 2×1005222333041² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1005222333041.

It is not an unprimeable number, because it can be changed into a prime (1005222333043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134438195 + ... + 134445671.

It is an arithmetic number, because the mean of its divisors is an integer number (44772786365).

Almost surely, 2^{1005222333041} is an apocalyptic number.

It is an amenable number.

1005222333041 is a deficient number, since it is larger than the sum of its proper divisors (69324539719).

1005222333041 is a wasteful number, since it uses less digits than its factorization.

1005222333041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10373 (or 10356 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 1005222333041 its reverse (1403332225001), we get a palindrome (2408554558042).

The spelling of 1005222333041 in words is "one trillion, five billion, two hundred twenty-two million, three hundred thirty-three thousand, forty-one".