541501 has 8 divisors (see below), whose sum is σ = 585144. Its totient is φ = 499200.

The previous prime is 541483. The next prime is 541507. The reversal of 541501 is 105145.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 301401 + 240100 = 549^2 + 490^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 541501 - 2⁵ = 541469 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541507) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 601 + ... + 1201.

It is an arithmetic number, because the mean of its divisors is an integer number (73143).

2⁵⁴¹⁵⁰¹ is an apocalyptic number.

541501 is the 601-st pentagonal number.

It is an amenable number.

541501 is a deficient number, since it is larger than the sum of its proper divisors (43643).

541501 is a wasteful number, since it uses less digits than its factorization.

541501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671.

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 541501 is about 735.8675152499. The cubic root of 541501 is about 81.5079094536.

Adding to 541501 its reverse (105145), we get a palindrome (646646).

The spelling of 541501 in words is "five hundred forty-one thousand, five hundred one".