540513414065 has 8 divisors (see below), whose sum is σ = 648806160168. Its totient is φ = 432284022400.

The previous prime is 540513414031. The next prime is 540513414079. The reversal of 540513414065 is 560414315045.

It can be written as a sum of positive squares in 4 ways, for example, as 349342466704 + 191170947361 = 591052^2 + 437231^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 540513414065 - 2²⁰ = 540512365489 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15819836 + ... + 15853965.

It is an arithmetic number, because the mean of its divisors is an integer number (81100770021).

Almost surely, 2^540513414065 is an apocalyptic number.

It is an amenable number.

540513414065 is a deficient number, since it is larger than the sum of its proper divisors (108292746103).

540513414065 is a wasteful number, since it uses less digits than its factorization.

540513414065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31677219.

The product of its (nonzero) digits is 144000, while the sum is 38.

The spelling of 540513414065 in words is "five hundred forty billion, five hundred thirteen million, four hundred fourteen thousand, sixty-five".