1005753550225 has 12 divisors (see below), whose sum is σ = 1259242506496. Its totient is φ = 796791160080.

The previous prime is 1005753550181. The next prime is 1005753550309. The reversal of 1005753550225 is 5220553575001.

It is a happy number.

It is not a de Polignac number, because 1005753550225 - 2³¹ = 1003606066577 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 195289377 + ... + 195294526.

Almost surely, 2^{1005753550225} is an apocalyptic number.

It is an amenable number.

1005753550225 is a deficient number, since it is larger than the sum of its proper divisors (253488956271).

1005753550225 is a wasteful number, since it uses less digits than its factorization.

1005753550225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390584016 (or 390584011 counting only the distinct ones).

The product of its (nonzero) digits is 262500, while the sum is 40.

The spelling of 1005753550225 in words is "one trillion, five billion, seven hundred fifty-three million, five hundred fifty thousand, two hundred twenty-five".