561101611601 has 16 divisors (see below), whose sum is σ = 614623817808. Its totient is φ = 510114048000.

The previous prime is 561101611583. The next prime is 561101611619. The reversal of 561101611601 is 106116101165.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (561101611583) and next prime (561101611619).

It can be written as a sum of positive squares in 8 ways, for example, as 9409194001 + 551692417600 = 97001^2 + 742760^2 .

It is a cyclic number.

It is not a de Polignac number, because 561101611601 - 2³⁴ = 543921742417 is a prime.

It is not an unprimeable number, because it can be changed into a prime (561101611201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3914870 + ... + 4055663.

It is an arithmetic number, because the mean of its divisors is an integer number (38413988613).

Almost surely, 2^561101611601 is an apocalyptic number.

It is an amenable number.

561101611601 is a deficient number, since it is larger than the sum of its proper divisors (53522206207).

561101611601 is a wasteful number, since it uses less digits than its factorization.

561101611601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7970692.

The product of its (nonzero) digits is 1080, while the sum is 29.

Adding to 561101611601 its reverse (106116101165), we get a palindrome (667217712766).

The spelling of 561101611601 in words is "five hundred sixty-one billion, one hundred one million, six hundred eleven thousand, six hundred one".