10517010005505 has 48 divisors (see below), whose sum is σ = 18172483116480. Its totient is φ = 5190279486336.

The previous prime is 10517010005449. The next prime is 10517010005533. The reversal of 10517010005505 is 50550001071501.

It is not a de Polignac number, because 10517010005505 - 2¹⁹ = 10517009481217 is a prime.

It is a super-2 number, since 2×10517010005505² (a number of 27 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 22350870 + ... + 22816559.

It is an arithmetic number, because the mean of its divisors is an integer number (378593398260).

Almost surely, 2^{10517010005505} is an apocalyptic number.

10517010005505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10517010005505 is a deficient number, since it is larger than the sum of its proper divisors (7655473110975).

10517010005505 is a wasteful number, since it uses less digits than its factorization.

10517010005505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45167518 (or 45167499 counting only the distinct ones).

The product of its (nonzero) digits is 4375, while the sum is 30.

The spelling of 10517010005505 in words is "ten trillion, five hundred seventeen billion, ten million, five thousand, five hundred five".