541520 has 40 divisors (see below), whose sum is σ = 1440384. Its totient is φ = 185472.

The previous prime is 541511. The next prime is 541523. The reversal of 541520 is 25145.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541523) by changing a digit.

541520 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77 + ... + 1043.

2⁵⁴¹⁵²⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720192).

541520 is an abundant number, since it is smaller than the sum of its proper divisors (898864).

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

541520 is a wasteful number, since it uses less digits than its factorization.

541520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987 (or 981 counting only the distinct ones).

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

The square root of 541520 is about 735.8804250692. The cubic root of 541520 is about 81.5088627495.

Subtracting from 541520 its product of nonzero digits (200), we obtain a triangular number (541320 = T₁₀₄₀).

Adding to 541520 its reverse (25145), we get a palindrome (566665).

The spelling of 541520 in words is "five hundred forty-one thousand, five hundred twenty".