561106100061 has 24 divisors (see below), whose sum is σ = 902929361880. Its totient is φ = 333389298816.

The previous prime is 561106100033. The next prime is 561106100063. The reversal of 561106100061 is 160001601165.

561106100061 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7561172025 + 553544928036 = 86955^2 + 744006^2 .

It is not a de Polignac number, because 561106100061 - 2⁵ = 561106100029 is a prime.

It is a super-4 number, since 4×561106100061⁴ (a number of 48 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 561106099998 and 561106100034.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561106100063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82682446 + ... + 82689231.

It is an arithmetic number, because the mean of its divisors is an integer number (37622056745).

Almost surely, 2^561106100061 is an apocalyptic number.

It is an amenable number.

561106100061 is a deficient number, since it is larger than the sum of its proper divisors (341823261819).

561106100061 is a wasteful number, since it uses less digits than its factorization.

561106100061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165371725 (or 165371722 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 561106100061 in words is "five hundred sixty-one billion, one hundred six million, one hundred thousand, sixty-one".