55505152 has 36 divisors (see below), whose sum is σ = 111579916. Its totient is φ = 27555840.

The previous prime is 55505129. The next prime is 55505161. The reversal of 55505152 is 25150555.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 20647936 + 34857216 = 4544^2 + 5904^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 55505152.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 39502 + ... + 40882.

Almost surely, 2^55505152 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 55505152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55789958).

55505152 is an abundant number, since it is smaller than the sum of its proper divisors (56074764).

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

55505152 is a wasteful number, since it uses less digits than its factorization.

55505152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1554 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 6250, while the sum is 28.

The square root of 55505152 is about 7450.1779844511. The cubic root of 55505152 is about 381.4559839330.

The spelling of 55505152 in words is "fifty-five million, five hundred five thousand, one hundred fifty-two".