541653310441 has 2 divisors, whose sum is σ = 541653310442. Its totient is φ = 541653310440.

The previous prime is 541653310439. The next prime is 541653310529. The reversal of 541653310441 is 144013356145.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 448603908841 + 93049401600 = 669779^2 + 305040^2 .

It is a cyclic number.

It is not a de Polignac number, because 541653310441 - 2¹ = 541653310439 is a prime.

It is a super-2 number, since 2×541653310441² (a number of 24 digits) contains 22 as substring.

Together with 541653310439, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 541653310441.

It is not a weakly prime, because it can be changed into another prime (541653310421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270826655220 + 270826655221.

It is an arithmetic number, because the mean of its divisors is an integer number (270826655221).

Almost surely, 2^541653310441 is an apocalyptic number.

It is an amenable number.

541653310441 is a deficient number, since it is larger than the sum of its proper divisors (1).

541653310441 is an equidigital number, since it uses as much as digits as its factorization.

541653310441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 86400, while the sum is 37.

Adding to 541653310441 its reverse (144013356145), we get a palindrome (685666666586).

The spelling of 541653310441 in words is "five hundred forty-one billion, six hundred fifty-three million, three hundred ten thousand, four hundred forty-one".