52012600 has 48 divisors (see below), whose sum is σ = 123898320. Its totient is φ = 20294400.

The previous prime is 52012577. The next prime is 52012601. The reversal of 52012600 is 621025.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52012601) 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, 5029 + ... + 11371.

It is an arithmetic number, because the mean of its divisors is an integer number (2581215).

Almost surely, 2^52012600 is an apocalyptic number.

52012600 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 52012600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61949160).

52012600 is an abundant number, since it is smaller than the sum of its proper divisors (71885720).

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

52012600 is a wasteful number, since it uses less digits than its factorization.

52012600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6400 (or 6391 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 52012600 is about 7211.9761508202. The cubic root of 52012600 is about 373.2812604526.

Adding to 52012600 its reverse (621025), we get a palindrome (52633625).

It can be divided in two parts, 5201 and 2600, that multiplied together give a triangular number (13522600 = T₅₂₀₀).

The spelling of 52012600 in words is "fifty-two million, twelve thousand, six hundred".