52113600 has 504 divisors, whose sum is σ = 235842048. Its totient is φ = 10598400.

The previous prime is 52113577. The next prime is 52113613. The reversal of 52113600 is 631125.

52113600 is a `hidden beast` number, since 52 + 1 + 13 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1108777 + ... + 1108823.

Almost surely, 2^52113600 is an apocalyptic number.

52113600 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 52113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117921024).

52113600 is an abundant number, since it is smaller than the sum of its proper divisors (183728448).

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

52113600 is a wasteful number, since it uses less digits than its factorization.

52113600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 52113600 is about 7218.9749964936. The cubic root of 52113600 is about 373.5227213695.

Adding to 52113600 its reverse (631125), we get a palindrome (52744725).

The spelling of 52113600 in words is "fifty-two million, one hundred thirteen thousand, six hundred".