30595257225 has 225 divisors, whose sum is σ = 64181009123. Its totient is φ = 14407398720.

The previous prime is 30595257169. The next prime is 30595257269. The reversal of 30595257225 is 52275259503.

The square root of 30595257225 is 174915.

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

30595257225 is a `hidden beast` number, since 3 + 0 + 5 + 9 + 52 + 572 + 25 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 30018681081 + 576576144 = 173259^2 + 24012^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 30595257225 - 2²³ = 30586868617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 1330228564 + ... + 1330228586.

Almost surely, 2^30595257225 is an apocalyptic number.

30595257225 is the 174915-th square number.

30595257225 is the 87458-th centered octagonal number.

It is an amenable number.

30595257225 is an abundant number, since it is smaller than the sum of its proper divisors (33585751898).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30595257225 is an frugal number, since it uses more digits than its factorization.

30595257225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 945000, while the sum is 45.

The spelling of 30595257225 in words is "thirty billion, five hundred ninety-five million, two hundred fifty-seven thousand, two hundred twenty-five".