540201125 has 16 divisors (see below), whose sum is σ = 697422960. Its totient is φ = 417256000.

The previous prime is 540201119. The next prime is 540201143. The reversal of 540201125 is 521102045.

It can be written as a sum of positive squares in 8 ways, for example, as 24275329 + 515925796 = 4927^2 + 22714^2 .

It is not a de Polignac number, because 540201125 - 2¹⁸ = 539938981 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 540201097 and 540201106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70886 + ... + 78135.

It is an arithmetic number, because the mean of its divisors is an integer number (43588935).

Almost surely, 2^540201125 is an apocalyptic number.

It is an amenable number.

540201125 is a deficient number, since it is larger than the sum of its proper divisors (157221835).

540201125 is a wasteful number, since it uses less digits than its factorization.

540201125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149065 (or 149055 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 540201125 is about 23242.2271953443. The cubic root of 540201125 is about 814.4263719189.

The spelling of 540201125 in words is "five hundred forty million, two hundred one thousand, one hundred twenty-five".