1671013826329 has 9 divisors (see below), whose sum is σ = 1692537084693. Its totient is φ = 1649760923772.

The previous prime is 1671013826309. The next prime is 1671013826369. The reversal of 1671013826329 is 9236283101761.

The square root of 1671013826329 is 1292677.

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

It is not a de Polignac number, because 1671013826329 - 2⁵ = 1671013826297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1671013826309) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 102113302 + ... + 102129664.

It is an arithmetic number, because the mean of its divisors is an integer number (188059676077).

Almost surely, 2^{1671013826329} is an apocalyptic number.

1671013826329 is the 1292677-th square number.

1671013826329 is the 646339-th centered octagonal number.

It is an amenable number.

1671013826329 is a deficient number, since it is larger than the sum of its proper divisors (21523258364).

1671013826329 is an frugal number, since it uses more digits than its factorization.

1671013826329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32884 (or 16442 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 49.

Multiplying 1671013826329 by its sum of digits (49), we get a square (81879677490121 = 9048739²).

The spelling of 1671013826329 in words is "one trillion, six hundred seventy-one billion, thirteen million, eight hundred twenty-six thousand, three hundred twenty-nine".