248088667225 has 135 divisors (see below), whose sum is σ = 382335735327. Its totient is φ = 159658158240.

The previous prime is 248088667217. The next prime is 248088667259. The reversal of 248088667225 is 522766880842.

The square root of 248088667225 is 498085.

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

248088667225 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 only one way, i.e., 89311920201 + 158776747024 = 298851^2 + 398468^2 .

It is not a de Polignac number, because 248088667225 - 2³ = 248088667217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 248088667225.

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, 2318585622 + ... + 2318585728.

Almost surely, 2^248088667225 is an apocalyptic number.

248088667225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

248088667225 is the 498085-th square number.

248088667225 is the 249043-rd centered octagonal number.

It is an amenable number.

248088667225 is a deficient number, since it is larger than the sum of its proper divisors (134247068102).

248088667225 is an frugal number, since it uses more digits than its factorization.

248088667225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 58.

The spelling of 248088667225 in words is "two hundred forty-eight billion, eighty-eight million, six hundred sixty-seven thousand, two hundred twenty-five".