10005601165507 has 16 divisors (see below), whose sum is σ = 10268894587392. Its totient is φ = 9744426004320.

The previous prime is 10005601165499. The next prime is 10005601165517. The reversal of 10005601165507 is 70556110650001.

It is a cyclic number.

It is not a de Polignac number, because 10005601165507 - 2³ = 10005601165499 is a prime.

It is a super-3 number, since 3×10005601165507³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10005601165517) 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 15 ways as a sum of consecutive naturals, for example, 52792768 + ... + 52981954.

It is an arithmetic number, because the mean of its divisors is an integer number (641805911712).

Almost surely, 2^{10005601165507} is an apocalyptic number.

10005601165507 is a deficient number, since it is larger than the sum of its proper divisors (263293421885).

10005601165507 is a wasteful number, since it uses less digits than its factorization.

10005601165507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194778.

The product of its (nonzero) digits is 31500, while the sum is 37.

The spelling of 10005601165507 in words is "ten trillion, five billion, six hundred one million, one hundred sixty-five thousand, five hundred seven".