1673745075289 has 27 divisors (see below), whose sum is σ = 1956101076351. Its totient is φ = 1427970736080.

The previous prime is 1673745075283. The next prime is 1673745075329. The reversal of 1673745075289 is 9825705473761.

The square root of 1673745075289 is 1293733.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7941839689 + 1665803235600 = 89117^2 + 1290660^2 .

It is not a de Polignac number, because 1673745075289 - 2³ = 1673745075281 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1673745075289.

It is not an unprimeable number, because it can be changed into a prime (1673745075281) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3812630932 + ... + 3812631370.

It is an arithmetic number, because the mean of its divisors is an integer number (72448188013).

It is a 1-persistent number, because it is pandigital, but 2⋅1673745075289 = 3347490150578 is not.

Almost surely, 2^{1673745075289} is an apocalyptic number.

1673745075289 is the 1293733-rd square number.

1673745075289 is the 646867-th centered octagonal number.

It is an amenable number.

1673745075289 is a deficient number, since it is larger than the sum of its proper divisors (282356001062).

1673745075289 is an frugal number, since it uses more digits than its factorization.

1673745075289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 88905600, while the sum is 64.

Multiplying 1673745075289 by its sum of digits (64), we get a square (107119684818496 = 10349864²).

The spelling of 1673745075289 in words is "one trillion, six hundred seventy-three billion, seven hundred forty-five million, seventy-five thousand, two hundred eighty-nine".