541539441 has 9 divisors (see below), whose sum is σ = 782324491. Its totient is φ = 360979752.

The previous prime is 541539431. The next prime is 541539451. The reversal of 541539441 is 144935145.

It is a happy number.

The square root of 541539441 is 23271.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (541539431) and next prime (541539451).

It can be written as a sum of positive squares in only one way, i.e., 445421025 + 96118416 = 21105^2 + 9804^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 541539441 - 2⁵ = 541539409 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 541539396 and 541539405.

It is not an unprimeable number, because it can be changed into a prime (541539431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 65935 + ... + 73691.

Almost surely, 2^541539441 is an apocalyptic number.

541539441 is the 23271-st square number.

541539441 is the 11636-th centered octagonal number.

It is an amenable number.

541539441 is a deficient number, since it is larger than the sum of its proper divisors (240785050).

541539441 is an frugal number, since it uses more digits than its factorization.

541539441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15520 (or 7760 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The cubic root of 541539441 is about 815.0983814893.

Multiplying 541539441 by its sum of digits (36), we get a square (19495419876 = 139626²).

The spelling of 541539441 in words is "five hundred forty-one million, five hundred thirty-nine thousand, four hundred forty-one".