52141200 has 60 divisors (see below), whose sum is σ = 167029488. Its totient is φ = 13904000.

The previous prime is 52141157. The next prime is 52141231. The reversal of 52141200 is 214125.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 52141200.

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, 20526 + ... + 22925.

Almost surely, 2^52141200 is an apocalyptic number.

52141200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52141200 is an abundant number, since it is smaller than the sum of its proper divisors (114888288).

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

52141200 is a wasteful number, since it uses less digits than its factorization.

52141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43472 (or 43461 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 52141200 is about 7220.8863721845. The cubic root of 52141200 is about 373.5886504660.

Adding to 52141200 its reverse (214125), we get a palindrome (52355325).

The spelling of 52141200 in words is "fifty-two million, one hundred forty-one thousand, two hundred".