55601152 has 48 divisors (see below), whose sum is σ = 117788580. Its totient is φ = 26148864.

The previous prime is 55601131. The next prime is 55601167. The reversal of 55601152 is 25110655.

It can be written as a sum of positive squares in 2 ways, for example, as 55591936 + 9216 = 7456^2 + 96^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34018 + ... + 35614.

Almost surely, 2^55601152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55601152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58894290).

55601152 is an abundant number, since it is smaller than the sum of its proper divisors (62187428).

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

55601152 is a wasteful number, since it uses less digits than its factorization.

55601152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636 (or 1616 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 25.

The square root of 55601152 is about 7456.6180001392. The cubic root of 55601152 is about 381.6757754374.

The spelling of 55601152 in words is "fifty-five million, six hundred one thousand, one hundred fifty-two".