541025000 has 192 divisors, whose sum is σ = 1434283200. Its totient is φ = 190080000.

The previous prime is 541024993. The next prime is 541025003. The reversal of 541025000 is 520145.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 541025000.

It is not an unprimeable number, because it can be changed into a prime (541025003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8074967 + ... + 8075033.

It is an arithmetic number, because the mean of its divisors is an integer number (7470225).

Almost surely, 2^541025000 is an apocalyptic number.

541025000 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 541025000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717141600).

541025000 is an abundant number, since it is smaller than the sum of its proper divisors (893258200).

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

541025000 is a wasteful number, since it uses less digits than its factorization.

541025000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 541025000 is about 23259.9441099930. The cubic root of 541025000 is about 814.8401960005.

Adding to 541025000 its reverse (520145), we get a palindrome (541545145).

The spelling of 541025000 in words is "five hundred forty-one million, twenty-five thousand".