91705101612561 has 24 divisors (see below), whose sum is σ = 133143413667264. Its totient is φ = 60822700219680.

The previous prime is 91705101612511. The next prime is 91705101612569. The reversal of 91705101612561 is 16521610150719.

91705101612561 is a `hidden beast` number, since 9 + 1 + 7 + 0 + 510 + 1 + 6 + 125 + 6 + 1 = 666.

It is not a de Polignac number, because 91705101612561 - 2¹¹ = 91705101610513 is a prime.

It is not an unprimeable number, because it can be changed into a prime (91705101612569) 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, 27774916 + ... + 30900746.

It is an arithmetic number, because the mean of its divisors is an integer number (5547642236136).

Almost surely, 2^{91705101612561} is an apocalyptic number.

It is an amenable number.

91705101612561 is a deficient number, since it is larger than the sum of its proper divisors (41438312054703).

91705101612561 is a wasteful number, since it uses less digits than its factorization.

91705101612561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3142581 (or 3142578 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 45.

The spelling of 91705101612561 in words is "ninety-one trillion, seven hundred five billion, one hundred one million, six hundred twelve thousand, five hundred sixty-one".