30133808788329 has 27 divisors (see below), whose sum is σ = 43917924884197. Its totient is φ = 19910195644416.

The previous prime is 30133808788309. The next prime is 30133808788331. The reversal of 30133808788329 is 92388780833103.

The square root of 30133808788329 is 5489427.

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

30133808788329 is a `hidden beast` number, since 30 + 133 + 80 + 8 + 78 + 8 + 329 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1613869929 + 30132194918400 = 40173^2 + 5489280^2 .

It is not a de Polignac number, because 30133808788329 - 2¹⁹ = 30133808264041 is a prime.

It is a super-2 number, since 2×30133808788329² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (30133808788309) 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, 1860907657 + ... + 1860923849.

Almost surely, 2^{30133808788329} is an apocalyptic number.

30133808788329 is the 5489427-th square number.

30133808788329 is the 2744714-th centered octagonal number.

It is an amenable number.

30133808788329 is a deficient number, since it is larger than the sum of its proper divisors (13784116095868).

30133808788329 is an frugal number, since it uses more digits than its factorization.

30133808788329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32618 (or 16309 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 30133808788329 in words is "thirty trillion, one hundred thirty-three billion, eight hundred eight million, seven hundred eighty-eight thousand, three hundred twenty-nine".