55125133210305 has 12 divisors (see below), whose sum is σ = 95550230897940. Its totient is φ = 29400071045472.

The previous prime is 55125133210249. The next prime is 55125133210309. The reversal of 55125133210305 is 50301233152155.

55125133210305 is a `hidden beast` number, since 5 + 5 + 1 + 2 + 5 + 1 + 332 + 10 + 305 = 666.

55125133210305 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 2 ways, for example, as 32406878831616 + 22718254378689 = 5692704^2 + 4766367^2 .

It is not a de Polignac number, because 55125133210305 - 2⁷ = 55125133210177 is a prime.

It is a super-2 number, since 2×55125133210305² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 55125133210305.

It is not an unprimeable number, because it can be changed into a prime (55125133210309) 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 11 ways as a sum of consecutive naturals, for example, 612501480070 + ... + 612501480159.

It is an arithmetic number, because the mean of its divisors is an integer number (7962519241495).

Almost surely, 2^{55125133210305} is an apocalyptic number.

It is an amenable number.

55125133210305 is a deficient number, since it is larger than the sum of its proper divisors (40425097687635).

55125133210305 is a wasteful number, since it uses less digits than its factorization.

55125133210305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225002960240 (or 1225002960237 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 36.

The spelling of 55125133210305 in words is "fifty-five trillion, one hundred twenty-five billion, one hundred thirty-three million, two hundred ten thousand, three hundred five".