55301085 has 96 divisors (see below), whose sum is σ = 121305600. Its totient is φ = 22708224.

The previous prime is 55301047. The next prime is 55301123. The reversal of 55301085 is 58010355.

55301085 is a `hidden beast` number, since 553 + 0 + 108 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (55301047) and next prime (55301123).

It is not a de Polignac number, because 55301085 - 2⁶ = 55301021 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 122941 + ... + 123389.

It is an arithmetic number, because the mean of its divisors is an integer number (1263600).

Almost surely, 2^55301085 is an apocalyptic number.

It is an amenable number.

55301085 is an abundant number, since it is smaller than the sum of its proper divisors (66004515).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55301085 is a wasteful number, since it uses less digits than its factorization.

55301085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 55301085 is about 7436.4699286691. The cubic root of 55301085 is about 380.9879302602.

The spelling of 55301085 in words is "fifty-five million, three hundred one thousand, eighty-five".