81605107584001 has 4 divisors (see below), whose sum is σ = 81605191421232. Its totient is φ = 81605023746772.

The previous prime is 81605107583963. The next prime is 81605107584017. The reversal of 81605107584001 is 10048570150618.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 81605107584001 - 2³¹ = 81602960100353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (81605107584031) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40441195 + ... + 42411088.

It is an arithmetic number, because the mean of its divisors is an integer number (20401297855308).

Almost surely, 2^{81605107584001} is an apocalyptic number.

It is an amenable number.

81605107584001 is a deficient number, since it is larger than the sum of its proper divisors (83837231).

81605107584001 is an equidigital number, since it uses as much as digits as its factorization.

81605107584001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83837230.

The product of its (nonzero) digits is 268800, while the sum is 46.

The spelling of 81605107584001 in words is "eighty-one trillion, six hundred five billion, one hundred seven million, five hundred eighty-four thousand, one".