30309765409 has 135 divisors (see below), whose sum is σ = 43574067411. Its totient is φ = 21058773120.

The previous prime is 30309765407. The next prime is 30309765419. The reversal of 30309765409 is 90456790303.

The square root of 30309765409 is 174097.

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., 23597568225 + 6712197184 = 153615^2 + 81928^2 .

It is not a de Polignac number, because 30309765409 - 2¹ = 30309765407 is a prime.

It is a super-2 number, since 2×30309765409² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30309765407) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1595250802 + ... + 1595250820.

Almost surely, 2^30309765409 is an apocalyptic number.

30309765409 is the 174097-th square number.

30309765409 is the 87049-th centered octagonal number.

It is an amenable number.

30309765409 is a deficient number, since it is larger than the sum of its proper divisors (13264302002).

30309765409 is an equidigital number, since it uses as much as digits as its factorization.

30309765409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 46.

The spelling of 30309765409 in words is "thirty billion, three hundred nine million, seven hundred sixty-five thousand, four hundred nine".