540516073704125 has 16 divisors (see below), whose sum is σ = 677459184740208. Its totient is φ = 430557009760000.

The previous prime is 540516073704121. The next prime is 540516073704133. The reversal of 540516073704125 is 521407370615045.

It can be written as a sum of positive squares in 8 ways, for example, as 344641885508089 + 195874188196036 = 18564533^2 + 13995506^2 .

It is not a de Polignac number, because 540516073704125 - 2² = 540516073704121 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540516073704121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9279216776 + ... + 9279275025.

It is an arithmetic number, because the mean of its divisors is an integer number (42341199046263).

Almost surely, 2^{540516073704125} is an apocalyptic number.

It is an amenable number.

540516073704125 is a deficient number, since it is larger than the sum of its proper divisors (136943111036083).

540516073704125 is a wasteful number, since it uses less digits than its factorization.

540516073704125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18558492049 (or 18558492039 counting only the distinct ones).

The product of its (nonzero) digits is 3528000, while the sum is 50.

The spelling of 540516073704125 in words is "five hundred forty trillion, five hundred sixteen billion, seventy-three million, seven hundred four thousand, one hundred twenty-five".