248881008577391 has 2 divisors, whose sum is σ = 248881008577392. Its totient is φ = 248881008577390.

The previous prime is 248881008577339. The next prime is 248881008577393. The reversal of 248881008577391 is 193775800188842.

248881008577391 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 248881008577391 - 2³⁴ = 248863828708207 is a prime.

It is a super-3 number, since 3×248881008577391³ (a number of 44 digits) contains 333 as substring.

Together with 248881008577393, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (248881008577393) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 124440504288695 + 124440504288696.

It is an arithmetic number, because the mean of its divisors is an integer number (124440504288696).

Almost surely, 2^{248881008577391} is an apocalyptic number.

248881008577391 is a deficient number, since it is larger than the sum of its proper divisors (1).

248881008577391 is an equidigital number, since it uses as much as digits as its factorization.

248881008577391 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216760320, while the sum is 71.

The spelling of 248881008577391 in words is "two hundred forty-eight trillion, eight hundred eighty-one billion, eight million, five hundred seventy-seven thousand, three hundred ninety-one".