1005753550105 has 8 divisors (see below), whose sum is σ = 1209017931264. Its totient is φ = 803193726000.

The previous prime is 1005753550099. The next prime is 1005753550111. The reversal of 1005753550105 is 5010553575001.

It is an interprime number because it is at equal distance from previous prime (1005753550099) and next prime (1005753550111).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1005753550105 - 2⁵ = 1005753550073 is a prime.

It is a super-2 number, since 2×1005753550105² (a number of 25 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 176136121 + ... + 176141830.

It is an arithmetic number, because the mean of its divisors is an integer number (151127241408).

Almost surely, 2^{1005753550105} is an apocalyptic number.

It is an amenable number.

1005753550105 is a deficient number, since it is larger than the sum of its proper divisors (203264381159).

1005753550105 is an equidigital number, since it uses as much as digits as its factorization.

1005753550105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352278527.

The product of its (nonzero) digits is 65625, while the sum is 37.

The spelling of 1005753550105 in words is "one trillion, five billion, seven hundred fifty-three million, five hundred fifty thousand, one hundred five".