248084682561 has 9 divisors (see below), whose sum is σ = 358346699841. Its totient is φ = 165388792212.

The previous prime is 248084682541. The next prime is 248084682569. The reversal of 248084682561 is 165286480842.

The square root of 248084682561 is 498081.

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

248084682561 is a `hidden beast` number, since 2 + 480 + 84 + 6 + 8 + 25 + 61 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 248084682561 - 2⁵ = 248084682529 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 248084682498 and 248084682507.

It is not an unprimeable number, because it can be changed into a prime (248084682569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1411230 + ... + 1577256.

Almost surely, 2^248084682561 is an apocalyptic number.

248084682561 is the 498081-st square number.

248084682561 is the 249041-st centered octagonal number.

It is an amenable number.

248084682561 is a deficient number, since it is larger than the sum of its proper divisors (110262017280).

248084682561 is an frugal number, since it uses more digits than its factorization.

248084682561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332060 (or 166030 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 248084682561 in words is "two hundred forty-eight billion, eighty-four million, six hundred eighty-two thousand, five hundred sixty-one".