1681617601627 has 2 divisors, whose sum is σ = 1681617601628. Its totient is φ = 1681617601626.

The previous prime is 1681617601589. The next prime is 1681617601669. The reversal of 1681617601627 is 7261067161861.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1681617601627 is a prime.

It is not a weakly prime, because it can be changed into another prime (1681617601427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 840808800813 + 840808800814.

It is an arithmetic number, because the mean of its divisors is an integer number (840808800814).

Almost surely, 2^{1681617601627} is an apocalyptic number.

1681617601627 is a deficient number, since it is larger than the sum of its proper divisors (1).

1681617601627 is an equidigital number, since it uses as much as digits as its factorization.

1681617601627 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1016064, while the sum is 52.

The spelling of 1681617601627 in words is "one trillion, six hundred eighty-one billion, six hundred seventeen million, six hundred one thousand, six hundred twenty-seven".