5052600 has 144 divisors (see below), whose sum is σ = 19440720. Its totient is φ = 1152000.

The previous prime is 5052599. The next prime is 5052623. The reversal of 5052600 is 62505.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12400 + ... + 12800.

It is an arithmetic number, because the mean of its divisors is an integer number (135005).

Almost surely, 2^5052600 is an apocalyptic number.

5052600 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 5052600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9720360).

5052600 is an abundant number, since it is smaller than the sum of its proper divisors (14388120).

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

5052600 is a wasteful number, since it uses less digits than its factorization.

5052600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 5052600 is about 2247.7989233915. The cubic root of 5052600 is about 171.5951357286.

It can be divided in two parts, 50 and 52600, that added together give a triangular number (52650 = T₃₂₄).

The spelling of 5052600 in words is "five million, fifty-two thousand, six hundred".