4153523421105 has 24 divisors (see below), whose sum is σ = 7199513786088. Its totient is φ = 2215189971456.

The previous prime is 4153523421071. The next prime is 4153523421121. The reversal of 4153523421105 is 5011243253514.

4153523421105 is a `hidden beast` number, since 4 + 1 + 5 + 3 + 523 + 4 + 21 + 105 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1375591196736 + 2777932224369 = 1172856^2 + 1666713^2 .

It is not a de Polignac number, because 4153523421105 - 2¹² = 4153523417009 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4153523421105.

It is an unprimeable number.

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, 4611049 + ... + 5437721.

It is an arithmetic number, because the mean of its divisors is an integer number (299979741087).

Almost surely, 2^{4153523421105} is an apocalyptic number.

4153523421105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4153523421105 is a deficient number, since it is larger than the sum of its proper divisors (3045990364983).

4153523421105 is a wasteful number, since it uses less digits than its factorization.

4153523421105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938337 (or 938334 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 4153523421105 its reverse (5011243253514), we get a palindrome (9164766674619).

The spelling of 4153523421105 in words is "four trillion, one hundred fifty-three billion, five hundred twenty-three million, four hundred twenty-one thousand, one hundred five".