540125105 has 24 divisors (see below), whose sum is σ = 741508152. Its totient is φ = 375386112.

The previous prime is 540125039. The next prime is 540125111. The reversal of 540125105 is 501521045.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 6145441 + 533979664 = 2479^2 + 23108^2 .

It is not a de Polignac number, because 540125105 - 2¹² = 540121009 is a prime.

It is a super-2 number, since 2×540125105² = 583470258102522050, which contains 22 as substring.

It is a Duffinian 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 23 ways as a sum of consecutive naturals, for example, 4409 + ... + 33161.

It is an arithmetic number, because the mean of its divisors is an integer number (30896173).

Almost surely, 2^540125105 is an apocalyptic number.

It is an amenable number.

540125105 is a deficient number, since it is larger than the sum of its proper divisors (201383047).

540125105 is a wasteful number, since it uses less digits than its factorization.

540125105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28805 (or 28788 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 23.

The square root of 540125105 is about 23240.5917523629. The cubic root of 540125105 is about 814.3881666441.

The spelling of 540125105 in words is "five hundred forty million, one hundred twenty-five thousand, one hundred five".