540505320510625 has 20 divisors (see below), whose sum is σ = 675834182224740. Its totient is φ = 432136181048000.

The previous prime is 540505320510611. The next prime is 540505320510629. The reversal of 540505320510625 is 526015023505045.

It can be written as a sum of positive squares in 10 ways, for example, as 516118246951696 + 24387073558929 = 22718236^2 + 4938327^2 .

It is not a de Polignac number, because 540505320510625 - 2⁵ = 540505320510593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (540505320510629) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 267066430 + ... + 269082679.

It is an arithmetic number, because the mean of its divisors is an integer number (33791709111237).

Almost surely, 2^{540505320510625} is an apocalyptic number.

It is an amenable number.

540505320510625 is a deficient number, since it is larger than the sum of its proper divisors (135328861714115).

540505320510625 is an equidigital number, since it uses as much as digits as its factorization.

540505320510625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536150742 (or 536150727 counting only the distinct ones).

The product of its (nonzero) digits is 900000, while the sum is 43.

The spelling of 540505320510625 in words is "five hundred forty trillion, five hundred five billion, three hundred twenty million, five hundred ten thousand, six hundred twenty-five".