42052211613521 has 2 divisors, whose sum is σ = 42052211613522. Its totient is φ = 42052211613520.

The previous prime is 42052211613499. The next prime is 42052211613539. The reversal of 42052211613521 is 12531611225024.

42052211613521 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., 29136633482896 + 12915578130625 = 5397836^2 + 3593825^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-42052211613521 is a prime.

It is not a weakly prime, because it can be changed into another prime (42052211633521) 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, 21026105806760 + 21026105806761.

It is an arithmetic number, because the mean of its divisors is an integer number (21026105806761).

Almost surely, 2^{42052211613521} is an apocalyptic number.

It is an amenable number.

42052211613521 is a deficient number, since it is larger than the sum of its proper divisors (1).

42052211613521 is an equidigital number, since it uses as much as digits as its factorization.

42052211613521 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28800, while the sum is 35.

Adding to 42052211613521 its reverse (12531611225024), we get a palindrome (54583822838545).

The spelling of 42052211613521 in words is "forty-two trillion, fifty-two billion, two hundred eleven million, six hundred thirteen thousand, five hundred twenty-one".