1005333121225 has 12 divisors (see below), whose sum is σ = 1319943251484. Its totient is φ = 756956702720.

The previous prime is 1005333121213. The next prime is 1005333121291. The reversal of 1005333121225 is 5221213335001.

It can be written as a sum of positive squares in 6 ways, for example, as 11547436681 + 993785684544 = 107459^2 + 996888^2 .

It is not a de Polignac number, because 1005333121225 - 2¹⁵ = 1005333088457 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1005333121193 and 1005333121202.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1182744424 + ... + 1182745273.

It is an arithmetic number, because the mean of its divisors is an integer number (109995270957).

Almost surely, 2^{1005333121225} is an apocalyptic number.

It is an amenable number.

1005333121225 is a deficient number, since it is larger than the sum of its proper divisors (314610130259).

1005333121225 is a wasteful number, since it uses less digits than its factorization.

1005333121225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2365489724 (or 2365489719 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

Adding to 1005333121225 its reverse (5221213335001), we get a palindrome (6226546456226).

The spelling of 1005333121225 in words is "one trillion, five billion, three hundred thirty-three million, one hundred twenty-one thousand, two hundred twenty-five".