248606946025 has 9 divisors (see below), whose sum is σ = 308275704453. Its totient is φ = 198883562400.

The previous prime is 248606945971. The next prime is 248606946031. The reversal of 248606946025 is 520649606842.

The square root of 248606946025 is 498605.

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

248606946025 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 14857903449 + 233749042576 = 121893^2 + 483476^2 .

It is not a de Polignac number, because 248606946025 - 2⁷ = 248606945897 is a prime.

It is a super-2 number, since 2×248606946025² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 2443165 + ... + 2542885.

Almost surely, 2^248606946025 is an apocalyptic number.

248606946025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

248606946025 is the 498605-th square number.

248606946025 is the 249303-rd centered octagonal number.

It is an amenable number.

248606946025 is a deficient number, since it is larger than the sum of its proper divisors (59668758428).

248606946025 is an frugal number, since it uses more digits than its factorization.

248606946025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199452 (or 99726 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 52.

The spelling of 248606946025 in words is "two hundred forty-eight billion, six hundred six million, nine hundred forty-six thousand, twenty-five".