1681617601601 has 8 divisors (see below), whose sum is σ = 1921856598144. Its totient is φ = 1441380582720.

The previous prime is 1681617601589. The next prime is 1681617601627. The reversal of 1681617601601 is 1061067161861.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1681617601601 - 2⁶ = 1681617601537 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1681617631601) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2726921 + ... + 3286233.

It is an arithmetic number, because the mean of its divisors is an integer number (240232074768).

Almost surely, 2^{1681617601601} is an apocalyptic number.

It is an amenable number.

1681617601601 is a deficient number, since it is larger than the sum of its proper divisors (240238996543).

1681617601601 is an equidigital number, since it uses as much as digits as its factorization.

1681617601601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988831.

The product of its (nonzero) digits is 72576, while the sum is 44.

The spelling of 1681617601601 in words is "one trillion, six hundred eighty-one billion, six hundred seventeen million, six hundred one thousand, six hundred one".