541632529 has 15 divisors (see below), whose sum is σ = 591349847. Its totient is φ = 495994176.

The previous prime is 541632523. The next prime is 541632571. The reversal of 541632529 is 925236145.

The square root of 541632529 is 23273.

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

It can be written as a sum of positive squares in 7 ways, for example, as 90155025 + 451477504 = 9495^2 + 21248^2 .

It is not a de Polignac number, because 541632529 - 2¹³ = 541624337 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

Its product of digits (64800) is a multiple of the sum of its prime divisors (54).

It is not an unprimeable number, because it can be changed into a prime (541632523) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 14638699 + ... + 14638735.

Almost surely, 2^541632529 is an apocalyptic number.

541632529 is the 23273-rd square number.

541632529 is the 11637-th centered octagonal number.

It is an amenable number.

541632529 is a deficient number, since it is larger than the sum of its proper divisors (49717318).

541632529 is an frugal number, since it uses more digits than its factorization.

541632529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 54 counting only the distinct ones).

The product of its digits is 64800, while the sum is 37.

The cubic root of 541632529 is about 815.1450826312.

The spelling of 541632529 in words is "five hundred forty-one million, six hundred thirty-two thousand, five hundred twenty-nine".