10517767514081 has 8 divisors (see below), whose sum is σ = 10558790640000. Its totient is φ = 10476822603520.

The previous prime is 10517767514063. The next prime is 10517767514117. The reversal of 10517767514081 is 18041576771501.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10517767514081 is a prime.

It is a super-2 number, since 2×10517767514081² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10517767514281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19284365 + ... + 19822266.

It is an arithmetic number, because the mean of its divisors is an integer number (1319848830000).

Almost surely, 2^{10517767514081} is an apocalyptic number.

It is an amenable number.

10517767514081 is a deficient number, since it is larger than the sum of its proper divisors (41023125919).

10517767514081 is an equidigital number, since it uses as much as digits as its factorization.

10517767514081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39107679.

The product of its (nonzero) digits is 1646400, while the sum is 53.

The spelling of 10517767514081 in words is "ten trillion, five hundred seventeen billion, seven hundred sixty-seven million, five hundred fourteen thousand, eighty-one".