541055257 has 2 divisors, whose sum is σ = 541055258. Its totient is φ = 541055256.

The previous prime is 541055227. The next prime is 541055303. The reversal of 541055257 is 752550145.

541055257 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., 497111616 + 43943641 = 22296^2 + 6629^2 .

It is a cyclic number.

It is not a de Polignac number, because 541055257 - 2⁷ = 541055129 is a prime.

It is a super-3 number, since 3×541055257³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (541055227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270527628 + 270527629.

It is an arithmetic number, because the mean of its divisors is an integer number (270527629).

Almost surely, 2^541055257 is an apocalyptic number.

It is an amenable number.

541055257 is a deficient number, since it is larger than the sum of its proper divisors (1).

541055257 is an equidigital number, since it uses as much as digits as its factorization.

541055257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 35000, while the sum is 34.

The square root of 541055257 is about 23260.5945108890. The cubic root of 541055257 is about 814.8553857855.

The spelling of 541055257 in words is "five hundred forty-one million, fifty-five thousand, two hundred fifty-seven".