4538652729041 has 2 divisors, whose sum is σ = 4538652729042. Its totient is φ = 4538652729040.

The previous prime is 4538652729007. The next prime is 4538652729047. The reversal of 4538652729041 is 1409272568354.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4353498942016 + 185153787025 = 2086504^2 + 430295^2 .

It is a cyclic number.

It is not a de Polignac number, because 4538652729041 - 2¹⁸ = 4538652466897 is a prime.

It is not a weakly prime, because it can be changed into another prime (4538652729047) 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, 2269326364520 + 2269326364521.

It is an arithmetic number, because the mean of its divisors is an integer number (2269326364521).

It is a 1-persistent number, because it is pandigital, but 2⋅4538652729041 = 9077305458082 is not.

Almost surely, 2^{4538652729041} is an apocalyptic number.

It is an amenable number.

4538652729041 is a deficient number, since it is larger than the sum of its proper divisors (1).

4538652729041 is an equidigital number, since it uses as much as digits as its factorization.

4538652729041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14515200, while the sum is 56.

The spelling of 4538652729041 in words is "four trillion, five hundred thirty-eight billion, six hundred fifty-two million, seven hundred twenty-nine thousand, forty-one".