540365625 has 36 divisors (see below), whose sum is σ = 975648492. Its totient is φ = 288180000.

The previous prime is 540365597. The next prime is 540365629. The reversal of 540365625 is 526563045.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 300363561 + 240002064 = 17331^2 + 15492^2 .

It is not a de Polignac number, because 540365625 - 2⁶ = 540365561 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 540365625.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540365629) 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 35 ways as a sum of consecutive naturals, for example, 18519 + ... + 37731.

It is an arithmetic number, because the mean of its divisors is an integer number (27101347).

Almost surely, 2^540365625 is an apocalyptic number.

It is an amenable number.

540365625 is a deficient number, since it is larger than the sum of its proper divisors (435282867).

540365625 is an equidigital number, since it uses as much as digits as its factorization.

540365625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19244 (or 19221 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 540365625 is about 23245.7657434639. The cubic root of 540365625 is about 814.5090322068.

The spelling of 540365625 in words is "five hundred forty million, three hundred sixty-five thousand, six hundred twenty-five".