10561251701601 has 12 divisors (see below), whose sum is σ = 15256863066900. Its totient is φ = 7040039827680.

The previous prime is 10561251701569. The next prime is 10561251701629. The reversal of 10561251701601 is 10610715216501.

10561251701601 is a `hidden beast` number, since 1 + 0 + 561 + 25 + 1 + 70 + 1 + 6 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5042041211601 + 5519210490000 = 2245449^2 + 2349300^2 .

It is not a de Polignac number, because 10561251701601 - 2⁵ = 10561251701569 is a prime.

It is a super-2 number, since 2×10561251701601² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10561251701641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66135826 + ... + 66295323.

It is an arithmetic number, because the mean of its divisors is an integer number (1271405255575).

Almost surely, 2^{10561251701601} is an apocalyptic number.

It is an amenable number.

10561251701601 is a deficient number, since it is larger than the sum of its proper divisors (4695611365299).

10561251701601 is a wasteful number, since it uses less digits than its factorization.

10561251701601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132440016 (or 132440013 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 36.

It can be divided in two parts, 1056125 and 1701601, that added together give a triangular number (2757726 = T₂₃₄₈).

The spelling of 10561251701601 in words is "ten trillion, five hundred sixty-one billion, two hundred fifty-one million, seven hundred one thousand, six hundred one".