52161600 has 84 divisors (see below), whose sum is σ = 171149264. Its totient is φ = 13908480.

The previous prime is 52161589. The next prime is 52161617. The reversal of 52161600 is 616125.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 634 + ... + 10233.

Almost surely, 2^52161600 is an apocalyptic number.

52161600 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 52161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85574632).

52161600 is an abundant number, since it is smaller than the sum of its proper divisors (118987664).

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

52161600 is a wasteful number, since it uses less digits than its factorization.

52161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10892 (or 10877 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 52161600 is about 7222.2988030128. The cubic root of 52161600 is about 373.6373657159.

Adding to 52161600 its reverse (616125), we get a palindrome (52777725).

The spelling of 52161600 in words is "fifty-two million, one hundred sixty-one thousand, six hundred".