541101200 has 30 divisors (see below), whose sum is σ = 1299996594. Its totient is φ = 216440320.

The previous prime is 541101191. The next prime is 541101203. The reversal of 541101200 is 2101145.

It can be written as a sum of positive squares in 3 ways, for example, as 27081616 + 514019584 = 5204^2 + 22672^2 .

It is not an unprimeable number, because it can be changed into a prime (541101203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 675977 + ... + 676776.

Almost surely, 2^541101200 is an apocalyptic number.

541101200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

541101200 is an abundant number, since it is smaller than the sum of its proper divisors (758895394).

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

541101200 is a wasteful number, since it uses less digits than its factorization.

541101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352771 (or 1352760 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 541101200 is about 23261.5820614162. The cubic root of 541101200 is about 814.8784492594.

Adding to 541101200 its reverse (2101145), we get a palindrome (543202345).

The spelling of 541101200 in words is "five hundred forty-one million, one hundred one thousand, two hundred".