561667766165 has 48 divisors (see below), whose sum is σ = 748456846704. Its totient is φ = 404298639360.

The previous prime is 561667766089. The next prime is 561667766183.

561667766165 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 55009949764 + 506657816401 = 234542^2 + 711799^2 .

It is not a de Polignac number, because 561667766165 - 2³⁸ = 286789859221 is a prime.

It is a super-2 number, since 2×561667766165² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 561667766098 and 561667766107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51746879 + ... + 51757731.

It is an arithmetic number, because the mean of its divisors is an integer number (15592850973).

Almost surely, 2^561667766165 is an apocalyptic number.

561667766165 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

561667766165 is a deficient number, since it is larger than the sum of its proper divisors (186789080539).

561667766165 is a wasteful number, since it uses less digits than its factorization.

561667766165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11750 (or 11739 counting only the distinct ones).

The product of its digits is 57153600, while the sum is 62.

The spelling of 561667766165 in words is "five hundred sixty-one billion, six hundred sixty-seven million, seven hundred sixty-six thousand, one hundred sixty-five".