248811041 has 2 divisors, whose sum is σ = 248811042. Its totient is φ = 248811040.

The previous prime is 248811011. The next prime is 248811047. The reversal of 248811041 is 140118842.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 187580416 + 61230625 = 13696^2 + 7825^2 .

It is a cyclic number.

It is not a de Polignac number, because 248811041 - 2²² = 244616737 is a prime.

It is equal to p_13617812 and since 248811041 and 13617812 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 248810995 and 248811013.

It is not a weakly prime, because it can be changed into another prime (248811047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 124405520 + 124405521.

It is an arithmetic number, because the mean of its divisors is an integer number (124405521).

Almost surely, 2^248811041 is an apocalyptic number.

It is an amenable number.

248811041 is a deficient number, since it is larger than the sum of its proper divisors (1).

248811041 is an equidigital number, since it uses as much as digits as its factorization.

248811041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2048, while the sum is 29.

The square root of 248811041 is about 15773.7453066797. The cubic root of 248811041 is about 628.9602746111.

Adding to 248811041 its reverse (140118842), we get a palindrome (388929883).

The spelling of 248811041 in words is "two hundred forty-eight million, eight hundred eleven thousand, forty-one".