248131049093 has 2 divisors, whose sum is σ = 248131049094. Its totient is φ = 248131049092.

The previous prime is 248131049077. The next prime is 248131049099. The reversal of 248131049093 is 390940131842.

248131049093 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 can be written as a sum of positive squares in only one way, i.e., 236552858689 + 11578190404 = 486367^2 + 107602^2 .

It is a cyclic number.

It is not a de Polignac number, because 248131049093 - 2⁴ = 248131049077 is a prime.

It is a super-2 number, since 2×248131049093² (a number of 24 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (248131049099) by changing a digit.

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 as a sum of consecutive naturals, namely, 124065524546 + 124065524547.

It is an arithmetic number, because the mean of its divisors is an integer number (124065524547).

Almost surely, 2^248131049093 is an apocalyptic number.

It is an amenable number.

248131049093 is a deficient number, since it is larger than the sum of its proper divisors (1).

248131049093 is an equidigital number, since it uses as much as digits as its factorization.

248131049093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 186624, while the sum is 44.

The spelling of 248131049093 in words is "two hundred forty-eight billion, one hundred thirty-one million, forty-nine thousand, ninety-three".