248267575867081 has 9 divisors (see below), whose sum is σ = 250239848263149. Its totient is φ = 246310727744844.

The previous prime is 248267575867067. The next prime is 248267575867097. The reversal of 248267575867081 is 180768575762842.

The square root of 248267575867081 is 15756509.

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

248267575867081 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 248267575867081 - 2⁵ = 248267575867049 is a prime.

It is a super-2 number, since 2×248267575867081² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 248267575866989 and 248267575867007.

It is not an unprimeable number, because it can be changed into a prime (248267575867981) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2001014610 + ... + 2001138676.

Almost surely, 2^{248267575867081} is an apocalyptic number.

248267575867081 is the 15756509-th square number.

248267575867081 is the 7878255-th centered octagonal number.

It is an amenable number.

248267575867081 is a deficient number, since it is larger than the sum of its proper divisors (1972272396068).

248267575867081 is an frugal number, since it uses more digits than its factorization.

248267575867081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248388 (or 124194 counting only the distinct ones).

The product of its (nonzero) digits is 2528870400, while the sum is 76.

It can be divided in two parts, 248267575 and 867081, that added together give a square (249134656 = 15784²).

The spelling of 248267575867081 in words is "two hundred forty-eight trillion, two hundred sixty-seven billion, five hundred seventy-five million, eight hundred sixty-seven thousand, eighty-one".