254131444041521 has 2 divisors, whose sum is σ = 254131444041522. Its totient is φ = 254131444041520.

The previous prime is 254131444041427. The next prime is 254131444041611. The reversal of 254131444041521 is 125140444131452.

254131444041521 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., 243449365002496 + 10682079039025 = 15602864^2 + 3268345^2 .

It is a cyclic number.

It is not a de Polignac number, because 254131444041521 - 2³⁰ = 254130370299697 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (254131444046521) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 127065722020760 + 127065722020761.

It is an arithmetic number, because the mean of its divisors is an integer number (127065722020761).

Almost surely, 2^{254131444041521} is an apocalyptic number.

It is an amenable number.

254131444041521 is a deficient number, since it is larger than the sum of its proper divisors (1).

254131444041521 is an equidigital number, since it uses as much as digits as its factorization.

254131444041521 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 307200, while the sum is 41.

Adding to 254131444041521 its reverse (125140444131452), we get a palindrome (379271888172973).

The spelling of 254131444041521 in words is "two hundred fifty-four trillion, one hundred thirty-one billion, four hundred forty-four million, forty-one thousand, five hundred twenty-one".