1309005168 has 80 divisors (see below), whose sum is σ = 3586332960. Its totient is φ = 410001408.

The previous prime is 1309005149. The next prime is 1309005179. The reversal of 1309005168 is 8615009031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 812748 + ... + 814356.

It is an arithmetic number, because the mean of its divisors is an integer number (44829162).

Almost surely, 2^1309005168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1309005168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1793166480).

1309005168 is an abundant number, since it is smaller than the sum of its proper divisors (2277327792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1309005168 is a wasteful number, since it uses less digits than its factorization.

1309005168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2634 (or 2628 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 1309005168 is about 36180.1764506477. The cubic root of 1309005168 is about 1093.9071317193.

The spelling of 1309005168 in words is "one billion, three hundred nine million, five thousand, one hundred sixty-eight".