268217302609 has 9 divisors (see below), whose sum is σ = 268984422441. Its totient is φ = 267452368740.

The previous prime is 268217302583. The next prime is 268217302649. The reversal of 268217302609 is 906203712862.

The square root of 268217302609 is 517897.

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

It is not a de Polignac number, because 268217302609 - 2¹³ = 268217294417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (268217302649) 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, 295718734 + ... + 295719640.

It is an arithmetic number, because the mean of its divisors is an integer number (29887158049).

Almost surely, 2^268217302609 is an apocalyptic number.

268217302609 is the 517897-th square number.

268217302609 is the 258949-th centered octagonal number.

It is an amenable number.

268217302609 is a deficient number, since it is larger than the sum of its proper divisors (767119832).

268217302609 is an frugal number, since it uses more digits than its factorization.

268217302609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2956 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The spelling of 268217302609 in words is "two hundred sixty-eight billion, two hundred seventeen million, three hundred two thousand, six hundred nine".