5525120 has 64 divisors (see below), whose sum is σ = 13494600. Its totient is φ = 2162688.

The previous prime is 5525089. The next prime is 5525131. The reversal of 5525120 is 215255.

5525120 = T₁₃₅ + T₁₃₆ + ... + T₃₂₈.

It can be written as a sum of positive squares in 4 ways, for example, as 3474496 + 2050624 = 1864^2 + 1432^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 5525092 and 5525101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56912 + ... + 57008.

Almost surely, 2^5525120 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 5525120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6747300).

5525120 is an abundant number, since it is smaller than the sum of its proper divisors (7969480).

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

5525120 is an equidigital number, since it uses as much as digits as its factorization.

5525120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 20.

The square root of 5525120 is about 2350.5573807078. The cubic root of 5525120 is about 176.7857430680.

The spelling of 5525120 in words is "five million, five hundred twenty-five thousand, one hundred twenty".