5153600 has 42 divisors (see below), whose sum is σ = 12685014. Its totient is φ = 2060800.

The previous prime is 5153569. The next prime is 5153623. The reversal of 5153600 is 63515.

It can be written as a sum of positive squares in 3 ways, for example, as 760384 + 4393216 = 872^2 + 2096^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11 + ... + 3210.

Almost surely, 2^5153600 is an apocalyptic number.

5153600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6342507).

5153600 is an abundant number, since it is smaller than the sum of its proper divisors (7531414).

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

5153600 is a wasteful number, since it uses less digits than its factorization.

5153600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3243 (or 3228 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 5153600 is about 2270.1541797860. The cubic root of 5153600 is about 172.7309795226.

The spelling of 5153600 in words is "five million, one hundred fifty-three thousand, six hundred".