253023041041 has 2 divisors, whose sum is σ = 253023041042. Its totient is φ = 253023041040.

The previous prime is 253023041039. The next prime is 253023041057. The reversal of 253023041041 is 140140320352.

253023041041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 186714731025 + 66308310016 = 432105^2 + 257504^2 .

It is a cyclic number.

It is not a de Polignac number, because 253023041041 - 2¹ = 253023041039 is a prime.

Together with 253023041039, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 253023040997 and 253023041015.

It is not a weakly prime, because it can be changed into another prime (253023041071) 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, 126511520520 + 126511520521.

It is an arithmetic number, because the mean of its divisors is an integer number (126511520521).

Almost surely, 2^253023041041 is an apocalyptic number.

It is an amenable number.

253023041041 is a deficient number, since it is larger than the sum of its proper divisors (1).

253023041041 is an equidigital number, since it uses as much as digits as its factorization.

253023041041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 253023041041 its reverse (140140320352), we get a palindrome (393163361393).

The spelling of 253023041041 in words is "two hundred fifty-three billion, twenty-three million, forty-one thousand, forty-one".