53005052505553 has 2 divisors, whose sum is σ = 53005052505554. Its totient is φ = 53005052505552.

The previous prime is 53005052505551. The next prime is 53005052505563. The reversal of 53005052505553 is 35550525050035.

53005052505553 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., 37622913597504 + 15382138908049 = 6133752^2 + 3922007^2 .

It is a cyclic number.

It is not a de Polignac number, because 53005052505553 - 2¹ = 53005052505551 is a prime.

It is a super-2 number, since 2×53005052505553² (a number of 28 digits) contains 22 as substring.

Together with 53005052505551, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (53005052505551) 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, 26502526252776 + 26502526252777.

It is an arithmetic number, because the mean of its divisors is an integer number (26502526252777).

Almost surely, 2^{53005052505553} is an apocalyptic number.

It is an amenable number.

53005052505553 is a deficient number, since it is larger than the sum of its proper divisors (1).

53005052505553 is an equidigital number, since it uses as much as digits as its factorization.

53005052505553 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1406250, while the sum is 43.

Adding to 53005052505553 its reverse (35550525050035), we get a palindrome (88555577555588).

The spelling of 53005052505553 in words is "fifty-three trillion, five billion, fifty-two million, five hundred five thousand, five hundred fifty-three".