248431824101 has 2 divisors, whose sum is σ = 248431824102. Its totient is φ = 248431824100.

The previous prime is 248431824073. The next prime is 248431824119. The reversal of 248431824101 is 101428134842.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 237754735201 + 10677088900 = 487601^2 + 103330^2 .

It is a cyclic number.

It is not a de Polignac number, because 248431824101 - 2⁶ = 248431824037 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (248431824161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 124215912050 + 124215912051.

It is an arithmetic number, because the mean of its divisors is an integer number (124215912051).

Almost surely, 2^248431824101 is an apocalyptic number.

It is an amenable number.

248431824101 is a deficient number, since it is larger than the sum of its proper divisors (1).

248431824101 is an equidigital number, since it uses as much as digits as its factorization.

248431824101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 49152, while the sum is 38.

Adding to 248431824101 its reverse (101428134842), we get a palindrome (349859958943).

The spelling of 248431824101 in words is "two hundred forty-eight billion, four hundred thirty-one million, eight hundred twenty-four thousand, one hundred one".