10505555005001 has 16 divisors (see below), whose sum is σ = 12528461872128. Its totient is φ = 8613182595600.

The previous prime is 10505555004899. The next prime is 10505555005007. The reversal of 10505555005001 is 10050055550501.

It is a cyclic number.

It is not a de Polignac number, because 10505555005001 - 2²² = 10505550810697 is a prime.

It is a super-2 number, since 2×10505555005001² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10505555005007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39720686 + ... + 39984296.

It is an arithmetic number, because the mean of its divisors is an integer number (783028867008).

Almost surely, 2^{10505555005001} is an apocalyptic number.

It is an amenable number.

10505555005001 is a deficient number, since it is larger than the sum of its proper divisors (2022906867127).

10505555005001 is a wasteful number, since it uses less digits than its factorization.

10505555005001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511172.

The product of its (nonzero) digits is 15625, while the sum is 32.

The spelling of 10505555005001 in words is "ten trillion, five hundred five billion, five hundred fifty-five million, five thousand, one".