540505240301 has 8 divisors (see below), whose sum is σ = 582423188760. Its totient is φ = 498635952192.

The previous prime is 540505240267. The next prime is 540505240393. The reversal of 540505240301 is 103042505045.

It can be written as a sum of positive squares in 4 ways, for example, as 1270566025 + 539234674276 = 35645^2 + 734326^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 540505240301 - 2¹⁰ = 540505239277 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 (540505240001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12142010 + ... + 12186443.

It is an arithmetic number, because the mean of its divisors is an integer number (72802898595).

Almost surely, 2^540505240301 is an apocalyptic number.

It is an amenable number.

540505240301 is a deficient number, since it is larger than the sum of its proper divisors (41917948459).

540505240301 is a wasteful number, since it uses less digits than its factorization.

540505240301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24330175.

The product of its (nonzero) digits is 12000, while the sum is 29.

Adding to 540505240301 its reverse (103042505045), we get a palindrome (643547745346).

The spelling of 540505240301 in words is "five hundred forty billion, five hundred five million, two hundred forty thousand, three hundred one".