540375957 has 72 divisors (see below), whose sum is σ = 920588760. Its totient is φ = 305184000.

The previous prime is 540375947. The next prime is 540375977. The reversal of 540375957 is 759573045.

540375957 is a `hidden beast` number, since 54 + 0 + 3 + 7 + 595 + 7 = 666.

540375957 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 243640881 + 296735076 = 15609^2 + 17226^2 .

It is not a de Polignac number, because 540375957 - 2¹⁵ = 540343189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540375907) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5350207 + ... + 5350307.

It is an arithmetic number, because the mean of its divisors is an integer number (12785955).

Almost surely, 2^540375957 is an apocalyptic number.

It is an amenable number.

540375957 is a deficient number, since it is larger than the sum of its proper divisors (380212803).

540375957 is a wasteful number, since it uses less digits than its factorization.

540375957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 661500, while the sum is 45.

The square root of 540375957 is about 23245.9879764229. The cubic root of 540375957 is about 814.5142234164.

The spelling of 540375957 in words is "five hundred forty million, three hundred seventy-five thousand, nine hundred fifty-seven".