10505510560061 has 8 divisors (see below), whose sum is σ = 11462553308448. Its totient is φ = 9548800534000.

The previous prime is 10505510560033. The next prime is 10505510560063. The reversal of 10505510560061 is 16006501550501.

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

It is a cyclic number.

It is not a de Polignac number, because 10505510560061 - 2⁶ = 10505510559997 is a prime.

It is a super-3 number, since 3×10505510560061³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10505510560063) by changing a digit.

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, 83114555 + ... + 83240856.

It is an arithmetic number, because the mean of its divisors is an integer number (1432819163556).

Almost surely, 2^{10505510560061} is an apocalyptic number.

10505510560061 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10505510560061 is a deficient number, since it is larger than the sum of its proper divisors (957042748387).

10505510560061 is a wasteful number, since it uses less digits than its factorization.

10505510560061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166361163.

The product of its (nonzero) digits is 22500, while the sum is 35.

The spelling of 10505510560061 in words is "ten trillion, five hundred five billion, five hundred ten million, five hundred sixty thousand, sixty-one".