61706007564561 has 48 divisors (see below), whose sum is σ = 92237613736320. Its totient is φ = 39732853743360.

The previous prime is 61706007564557. The next prime is 61706007564589. The reversal of 61706007564561 is 16546570060716.

It is a happy number.

61706007564561 is a `hidden beast` number, since 6 + 1 + 7 + 0 + 6 + 0 + 0 + 75 + 6 + 4 + 561 = 666.

It is not a de Polignac number, because 61706007564561 - 2² = 61706007564557 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 61706007564498 and 61706007564507.

It is not an unprimeable number, because it can be changed into a prime (61706007564361) 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 47 ways as a sum of consecutive naturals, for example, 5706100 + ... + 12488858.

It is an arithmetic number, because the mean of its divisors is an integer number (1921616952840).

Almost surely, 2^{61706007564561} is an apocalyptic number.

61706007564561 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

It is an amenable number.

61706007564561 is a deficient number, since it is larger than the sum of its proper divisors (30531606171759).

61706007564561 is a wasteful number, since it uses less digits than its factorization.

61706007564561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6783126 (or 6783123 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 61706007564561 in words is "sixty-one trillion, seven hundred six billion, seven million, five hundred sixty-four thousand, five hundred sixty-one".