541300000 has 72 divisors (see below), whose sum is σ = 1332266292. Its totient is φ = 216480000.

The previous prime is 541299989. The next prime is 541300003. The reversal of 541300000 is 3145.

It can be written as a sum of positive squares in 6 ways, for example, as 126607504 + 414692496 = 11252^2 + 20364^2 .

It is not an unprimeable number, because it can be changed into a prime (541300003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97294 + ... + 102706.

Almost surely, 2^541300000 is an apocalyptic number.

541300000 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 541300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666133146).

541300000 is an abundant number, since it is smaller than the sum of its proper divisors (790966292).

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

541300000 is an frugal number, since it uses more digits than its factorization.

541300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5448 (or 5420 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 541300000 is about 23265.8548091404. The cubic root of 541300000 is about 814.9782321962.

Adding to 541300000 its reverse (3145), we get a palindrome (541303145).

The spelling of 541300000 in words is "five hundred forty-one million, three hundred thousand".