30168709686025 has 81 divisors (see below), whose sum is σ = 39049742233269. Its totient is φ = 23120615427840.

The previous prime is 30168709686023. The next prime is 30168709686103. The reversal of 30168709686025 is 52068690786103.

The square root of 30168709686025 is 5492605.

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

It can be written as a sum of positive squares in 4 ways, for example, as 9222087430521 + 20946622255504 = 3036789^2 + 4576748^2 .

It is not a de Polignac number, because 30168709686025 - 2¹ = 30168709686023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (30168709686023) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 69673694209 + ... + 69673694641.

Almost surely, 2^{30168709686025} is an apocalyptic number.

30168709686025 is the 5492605-th square number.

30168709686025 is the 2746303-rd centered octagonal number.

It is an amenable number.

30168709686025 is a deficient number, since it is larger than the sum of its proper divisors (8881032547244).

30168709686025 is an frugal number, since it uses more digits than its factorization.

30168709686025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 61.

The spelling of 30168709686025 in words is "thirty trillion, one hundred sixty-eight billion, seven hundred nine million, six hundred eighty-six thousand, twenty-five".