52012800 has 432 divisors, whose sum is σ = 223041280. Its totient is φ = 11612160.

The previous prime is 52012799. The next prime is 52012841. The reversal of 52012800 is 821025.

It is a tau number, because it is divible by the number of its divisors (432).

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 47 ways as a sum of consecutive naturals, for example, 1209579 + ... + 1209621.

Almost surely, 2^52012800 is an apocalyptic number.

52012800 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 52012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111520640).

52012800 is an abundant number, since it is smaller than the sum of its proper divisors (171028480).

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

52012800 is a wasteful number, since it uses less digits than its factorization.

52012800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 52012800 is about 7211.9900166320. The cubic root of 52012800 is about 373.2817389018.

Adding to 52012800 its reverse (821025), we get a palindrome (52833825).

It can be divided in two parts, 5201 and 2800, that added together give a triangular number (8001 = T₁₂₆).

The spelling of 52012800 in words is "fifty-two million, twelve thousand, eight hundred".