248945657225 has 12 divisors (see below), whose sum is σ = 308966071260. Its totient is φ = 198980102400.

The previous prime is 248945657159. The next prime is 248945657239. The reversal of 248945657225 is 522756549842.

248945657225 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 6 ways, for example, as 27515179129 + 221430478096 = 165877^2 + 470564^2 .

It is not a de Polignac number, because 248945657225 - 2¹² = 248945653129 is a prime.

It is a super-3 number, since 3×248945657225³ (a number of 35 digits) contains 333 as substring.

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 11 ways as a sum of consecutive naturals, for example, 4381796 + ... + 4438245.

It is an arithmetic number, because the mean of its divisors is an integer number (25747172605).

Almost surely, 2^248945657225 is an apocalyptic number.

248945657225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

248945657225 is a deficient number, since it is larger than the sum of its proper divisors (60020414035).

248945657225 is a wasteful number, since it uses less digits than its factorization.

248945657225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8821180 (or 8821175 counting only the distinct ones).

The product of its digits is 48384000, while the sum is 59.

The spelling of 248945657225 in words is "two hundred forty-eight billion, nine hundred forty-five million, six hundred fifty-seven thousand, two hundred twenty-five".