253782111241 has 2 divisors, whose sum is σ = 253782111242. Its totient is φ = 253782111240.

The previous prime is 253782111229. The next prime is 253782111259. The reversal of 253782111241 is 142111287352.

253782111241 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., 252409779216 + 1372332025 = 502404^2 + 37045^2 .

It is a cyclic number.

It is not a de Polignac number, because 253782111241 - 2¹³ = 253782103049 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 253782111241.

It is not a weakly prime, because it can be changed into another prime (253782151241) 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, 126891055620 + 126891055621.

It is an arithmetic number, because the mean of its divisors is an integer number (126891055621).

Almost surely, 2^253782111241 is an apocalyptic number.

It is an amenable number.

253782111241 is a deficient number, since it is larger than the sum of its proper divisors (1).

253782111241 is an equidigital number, since it uses as much as digits as its factorization.

253782111241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 26880, while the sum is 37.

Adding to 253782111241 its reverse (142111287352), we get a palindrome (395893398593).

The spelling of 253782111241 in words is "two hundred fifty-three billion, seven hundred eighty-two million, one hundred eleven thousand, two hundred forty-one".