541506125 has 16 divisors (see below), whose sum is σ = 699107760. Its totient is φ = 418264000.

The previous prime is 541506103. The next prime is 541506131. The reversal of 541506125 is 521605145.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 43903876 + 497602249 = 6626^2 + 22307^2 .

It is not a de Polignac number, because 541506125 - 2²⁰ = 540457549 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 71066 + ... + 78315.

It is an arithmetic number, because the mean of its divisors is an integer number (43694235).

Almost surely, 2^541506125 is an apocalyptic number.

It is an amenable number.

541506125 is a deficient number, since it is larger than the sum of its proper divisors (157601635).

541506125 is a wasteful number, since it uses less digits than its factorization.

541506125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149425 (or 149415 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 29.

The square root of 541506125 is about 23270.2841624248. The cubic root of 541506125 is about 815.0816659480.

The spelling of 541506125 in words is "five hundred forty-one million, five hundred six thousand, one hundred twenty-five".