30514849225 has 135 divisors (see below), whose sum is σ = 47681420199. Its totient is φ = 19369072800.

The previous prime is 30514849223. The next prime is 30514849273. The reversal of 30514849225 is 52294841503.

The square root of 30514849225 is 174685.

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., 10985345721 + 19529503504 = 104811^2 + 139748^2 .

It is not a de Polignac number, because 30514849225 - 2¹ = 30514849223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (30514849223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 984349960 + ... + 984349990.

Almost surely, 2^30514849225 is an apocalyptic number.

30514849225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

30514849225 is the 174685-th square number.

30514849225 is the 87343-rd centered octagonal number.

It is an amenable number.

30514849225 is a deficient number, since it is larger than the sum of its proper divisors (17166570974).

30514849225 is an frugal number, since it uses more digits than its factorization.

30514849225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 43.

The spelling of 30514849225 in words is "thirty billion, five hundred fourteen million, eight hundred forty-nine thousand, two hundred twenty-five".