53305355350335 has 32 divisors (see below), whose sum is σ = 98515138021632. Its totient is φ = 24324725434880.

The previous prime is 53305355350309. The next prime is 53305355350337.

53305355350335 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 53305355350335 - 2⁹ = 53305355349823 is a prime.

It is a super-3 number, since 3×53305355350335³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53305355350337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9501843069 + ... + 9501848678.

It is an arithmetic number, because the mean of its divisors is an integer number (3078598063176).

Almost surely, 2^{53305355350335} is an apocalyptic number.

53305355350335 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

53305355350335 is a deficient number, since it is larger than the sum of its proper divisors (45209782671297).

53305355350335 is a wasteful number, since it uses less digits than its factorization.

53305355350335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19003691783.

The product of its (nonzero) digits is 11390625, while the sum is 48.

The spelling of 53305355350335 in words is "fifty-three trillion, three hundred five billion, three hundred fifty-five million, three hundred fifty thousand, three hundred thirty-five".