55513120 has 72 divisors (see below), whose sum is σ = 142083396. Its totient is φ = 20487168.

The previous prime is 55513103. The next prime is 55513121. The reversal of 55513120 is 2131555.

It can be written as a sum of positive squares in 6 ways, for example, as 5895184 + 49617936 = 2428^2 + 7044^2 .

It is a junction number, because it is equal to n+sod(n) for n = 55513091 and 55513100.

It is not an unprimeable number, because it can be changed into a prime (55513121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26014 + ... + 28066.

Almost surely, 2^55513120 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 55513120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71041698).

55513120 is an abundant number, since it is smaller than the sum of its proper divisors (86570276).

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

55513120 is a wasteful number, since it uses less digits than its factorization.

55513120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2094 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 22.

The square root of 55513120 is about 7450.7127175862. The cubic root of 55513120 is about 381.4742362678.

Adding to 55513120 its reverse (2131555), we get a palindrome (57644675).

The spelling of 55513120 in words is "fifty-five million, five hundred thirteen thousand, one hundred twenty".