248617077641 has 2 divisors, whose sum is σ = 248617077642. Its totient is φ = 248617077640.

The previous prime is 248617077619. The next prime is 248617077647. The reversal of 248617077641 is 146770716842.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 159472435600 + 89144642041 = 399340^2 + 298571^2 .

It is a cyclic number.

It is not a de Polignac number, because 248617077641 - 2¹⁴ = 248617061257 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (248617077647) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 124308538820 + 124308538821.

It is an arithmetic number, because the mean of its divisors is an integer number (124308538821).

Almost surely, 2^248617077641 is an apocalyptic number.

It is an amenable number.

248617077641 is a deficient number, since it is larger than the sum of its proper divisors (1).

248617077641 is an equidigital number, since it uses as much as digits as its factorization.

248617077641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3161088, while the sum is 53.

The spelling of 248617077641 in words is "two hundred forty-eight billion, six hundred seventeen million, seventy-seven thousand, six hundred forty-one".