542513200 has 60 divisors (see below), whose sum is σ = 1310842440. Its totient is φ = 215764480.

The previous prime is 542513161. The next prime is 542513227. The reversal of 542513200 is 2315245.

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, 67812 + ... + 75388.

It is an arithmetic number, because the mean of its divisors is an integer number (21847374).

Almost surely, 2^542513200 is an apocalyptic number.

542513200 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 542513200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655421220).

542513200 is an abundant number, since it is smaller than the sum of its proper divisors (768329240).

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

542513200 is a wasteful number, since it uses less digits than its factorization.

542513200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7774 (or 7763 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 542513200 is about 23291.9127595825. The cubic root of 542513200 is about 815.5866402495.

Adding to 542513200 its reverse (2315245), we get a palindrome (544828445).

The spelling of 542513200 in words is "five hundred forty-two million, five hundred thirteen thousand, two hundred".