53305055350001 has 24 divisors (see below), whose sum is σ = 66878787533544. Its totient is φ = 42111622586880.

The previous prime is 53305055349989. The next prime is 53305055350003. The reversal of 53305055350001 is 10005355050335.

53305055350001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 20210635149376 + 33094420200625 = 4495624^2 + 5752775^2 .

It is not a de Polignac number, because 53305055350001 - 2²⁶ = 53304988241137 is a prime.

It is a super-2 number, since 2×53305055350001² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (53305055350003) 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 in 23 ways as a sum of consecutive naturals, for example, 62878040 + ... + 63720153.

It is an arithmetic number, because the mean of its divisors is an integer number (2786616147231).

Almost surely, 2^{53305055350001} is an apocalyptic number.

It is an amenable number.

53305055350001 is a deficient number, since it is larger than the sum of its proper divisors (13573732183543).

53305055350001 is a wasteful number, since it uses less digits than its factorization.

53305055350001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126598881 (or 126598874 counting only the distinct ones).

The product of its (nonzero) digits is 84375, while the sum is 35.

The spelling of 53305055350001 in words is "fifty-three trillion, three hundred five billion, fifty-five million, three hundred fifty thousand, one".