30822205650625 has 45 divisors (see below), whose sum is σ = 40917445297311. Its totient is φ = 23205531216000.

The previous prime is 30822205650581. The next prime is 30822205650637. The reversal of 30822205650625 is 52605650222803.

It is a happy number.

The square root of 30822205650625 is 5551775.

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

It can be written as a sum of positive squares in 7 ways, for example, as 15052157443521 + 15770048207104 = 3879711^2 + 3971152^2 .

It is a de Polignac number, because none of the positive numbers 2^k-30822205650625 is a prime.

It is a super-3 number, since 3×30822205650625³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2359497844 + ... + 2359510906.

Almost surely, 2^{30822205650625} is an apocalyptic number.

30822205650625 is the 5551775-th square number.

30822205650625 is the 2775888-th centered octagonal number.

It is an amenable number.

30822205650625 is a deficient number, since it is larger than the sum of its proper divisors (10095239646686).

30822205650625 is an frugal number, since it uses more digits than its factorization.

30822205650625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26180 (or 13085 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 46.

The spelling of 30822205650625 in words is "thirty trillion, eight hundred twenty-two billion, two hundred five million, six hundred fifty thousand, six hundred twenty-five".