253266250241 has 2 divisors, whose sum is σ = 253266250242. Its totient is φ = 253266250240.

The previous prime is 253266250177. The next prime is 253266250247. The reversal of 253266250241 is 142052662352.

253266250241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 207589584400 + 45676665841 = 455620^2 + 213721^2 .

It is a cyclic number.

It is not a de Polignac number, because 253266250241 - 2⁶ = 253266250177 is a prime.

It is a super-2 number, since 2×253266250241² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 253266250195 and 253266250204.

It is not a weakly prime, because it can be changed into another prime (253266250247) 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, 126633125120 + 126633125121.

It is an arithmetic number, because the mean of its divisors is an integer number (126633125121).

Almost surely, 2^253266250241 is an apocalyptic number.

It is an amenable number.

253266250241 is a deficient number, since it is larger than the sum of its proper divisors (1).

253266250241 is an equidigital number, since it uses as much as digits as its factorization.

253266250241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 172800, while the sum is 38.

The spelling of 253266250241 in words is "two hundred fifty-three billion, two hundred sixty-six million, two hundred fifty thousand, two hundred forty-one".