238080564225 has 135 divisors (see below), whose sum is σ = 513340130457. Its totient is φ = 108766566720.

The previous prime is 238080564187. The next prime is 238080564269. The reversal of 238080564225 is 522465080832.

The square root of 238080564225 is 487935.

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

238080564225 is a `hidden beast` number, since 2 + 3 + 8 + 0 + 80 + 564 + 2 + 2 + 5 = 666.

238080564225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 21676967361 + 216403596864 = 147231^2 + 465192^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 238080564225 - 2¹⁵ = 238080531457 is a prime.

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

It is an unprimeable number.

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, 153698751 + ... + 153700299.

Almost surely, 2^238080564225 is an apocalyptic number.

238080564225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

238080564225 is the 487935-th square number.

238080564225 is the 243968-th centered octagonal number.

It is an amenable number.

238080564225 is an abundant number, since it is smaller than the sum of its proper divisors (275259566232).

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

238080564225 is an frugal number, since it uses more digits than its factorization.

238080564225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3134 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 238080564225 in words is "two hundred thirty-eight billion, eighty million, five hundred sixty-four thousand, two hundred twenty-five".