541525756804349 has 2 divisors, whose sum is σ = 541525756804350. Its totient is φ = 541525756804348.

The previous prime is 541525756804271. The next prime is 541525756804369. The reversal of 541525756804349 is 943408657525145.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 447469800724324 + 94055956080025 = 21153482^2 + 9698245^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-541525756804349 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (541525756804369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270762878402174 + 270762878402175.

It is an arithmetic number, because the mean of its divisors is an integer number (270762878402175).

It is a 1-persistent number, because it is pandigital, but 2⋅541525756804349 = 1083051513608698 is not.

Almost surely, 2^{541525756804349} is an apocalyptic number.

It is an amenable number.

541525756804349 is a deficient number, since it is larger than the sum of its proper divisors (1).

541525756804349 is an equidigital number, since it uses as much as digits as its factorization.

541525756804349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 725760000, while the sum is 68.

The spelling of 541525756804349 in words is "five hundred forty-one trillion, five hundred twenty-five billion, seven hundred fifty-six million, eight hundred four thousand, three hundred forty-nine".