52041600 has 288 divisors, whose sum is σ = 201419400. Its totient is φ = 12718080.

The previous prime is 52041553. The next prime is 52041623. The reversal of 52041600 is 614025.

It is a happy number.

52041600 is a `hidden beast` number, since 5 + 20 + 41 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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, 374331 + ... + 374469.

Almost surely, 2^52041600 is an apocalyptic number.

52041600 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 52041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100709700).

52041600 is an abundant number, since it is smaller than the sum of its proper divisors (149377800).

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

52041600 is a wasteful number, since it uses less digits than its factorization.

52041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 52041600 is about 7213.9864152908. The cubic root of 52041600 is about 373.3506227821.

Adding to 52041600 its reverse (614025), we get a palindrome (52655625).

The spelling of 52041600 in words is "fifty-two million, forty-one thousand, six hundred".