171003553673 has 16 divisors (see below), whose sum is σ = 182149983504. Its totient is φ = 159980728320.

The previous prime is 171003553649. The next prime is 171003553687. The reversal of 171003553673 is 376355300171.

171003553673 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 77903508544 + 93100045129 = 279112^2 + 305123^2 .

It is a cyclic number.

It is not a de Polignac number, because 171003553673 - 2¹⁰ = 171003552649 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 171003553673.

It is not an unprimeable number, because it can be changed into a prime (171003553603) 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 15 ways as a sum of consecutive naturals, for example, 1939361 + ... + 2025617.

It is an arithmetic number, because the mean of its divisors is an integer number (11384373969).

Almost surely, 2^171003553673 is an apocalyptic number.

It is an amenable number.

171003553673 is a deficient number, since it is larger than the sum of its proper divisors (11146429831).

171003553673 is a wasteful number, since it uses less digits than its factorization.

171003553673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86972.

The product of its (nonzero) digits is 198450, while the sum is 41.

The spelling of 171003553673 in words is "one hundred seventy-one billion, three million, five hundred fifty-three thousand, six hundred seventy-three".