540303125 has 24 divisors (see below), whose sum is σ = 691971336. Its totient is φ = 421600000.

The previous prime is 540303107. The next prime is 540303131. The reversal of 540303125 is 521303045.

It can be written as a sum of positive squares in 12 ways, for example, as 540051121 + 252004 = 23239^2 + 502^2 .

It is not a de Polignac number, because 540303125 - 2¹⁰ = 540302101 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 540303125.

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 23 ways as a sum of consecutive naturals, for example, 126017 + ... + 130233.

It is an arithmetic number, because the mean of its divisors is an integer number (28832139).

Almost surely, 2^540303125 is an apocalyptic number.

It is an amenable number.

540303125 is a deficient number, since it is larger than the sum of its proper divisors (151668211).

540303125 is an frugal number, since it uses more digits than its factorization.

540303125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4283 (or 4263 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 540303125 is about 23244.4213737404. The cubic root of 540303125 is about 814.4776282987.

The spelling of 540303125 in words is "five hundred forty million, three hundred three thousand, one hundred twenty-five".