30205397209 has 27 divisors (see below), whose sum is σ = 33947999319. Its totient is φ = 26862064320.

The previous prime is 30205397191. The next prime is 30205397213. The reversal of 30205397209 is 90279350203.

It is a happy number.

The square root of 30205397209 is 173797.

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

It can be written as a sum of positive squares in 13 ways, for example, as 28559310025 + 1646087184 = 168995^2 + 40572^2 .

It is a de Polignac number, because none of the positive numbers 2^k-30205397209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (30205397009) 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, 65521239 + ... + 65521699.

Almost surely, 2^30205397209 is an apocalyptic number.

30205397209 is the 173797-th square number.

30205397209 is the 86899-th centered octagonal number.

It is an amenable number.

30205397209 is a deficient number, since it is larger than the sum of its proper divisors (3742602110).

30205397209 is an frugal number, since it uses more digits than its factorization.

30205397209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 40.

The spelling of 30205397209 in words is "thirty billion, two hundred five million, three hundred ninety-seven thousand, two hundred nine".