163325523361 has 64 divisors (see below), whose sum is σ = 221921280000. Its totient is φ = 116075151360.

The previous prime is 163325523337. The next prime is 163325523367.

163325523361 is nontrivially palindromic in base 10.

163325523361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 163325523361 - 2⁵ = 163325523329 is a prime.

It is a super-2 number, since 2×163325523361² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (163325523367) 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 in 63 ways as a sum of consecutive naturals, for example, 32669140 + ... + 32674138.

It is an arithmetic number, because the mean of its divisors is an integer number (3467520000).

Almost surely, 2^163325523361 is an apocalyptic number.

163325523361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

163325523361 is a deficient number, since it is larger than the sum of its proper divisors (58595756639).

163325523361 is a wasteful number, since it uses less digits than its factorization.

163325523361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5414.

The product of its digits is 291600, while the sum is 40.

It can be divided in two parts, 163325 and 523361, that added together give a palindrome (686686).

The spelling of 163325523361 in words is "one hundred sixty-three billion, three hundred twenty-five million, five hundred twenty-three thousand, three hundred sixty-one".