540513504103013 has 24 divisors (see below), whose sum is σ = 628928650361592. Its totient is φ = 463173483986304.

The previous prime is 540513504103009. The next prime is 540513504103019. The reversal of 540513504103013 is 310301405315045.

It can be written as a sum of positive squares in 4 ways, for example, as 85938681409 + 540427565421604 = 293153^2 + 23247098^2 .

It is not a de Polignac number, because 540513504103013 - 2² = 540513504103009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540513504103019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3035872631 + ... + 3036050667.

It is an arithmetic number, because the mean of its divisors is an integer number (26205360431733).

Almost surely, 2^{540513504103013} is an apocalyptic number.

It is an amenable number.

540513504103013 is a deficient number, since it is larger than the sum of its proper divisors (88415146258579).

540513504103013 is a wasteful number, since it uses less digits than its factorization.

540513504103013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194261 (or 194254 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 35.

Adding to 540513504103013 its reverse (310301405315045), we get a palindrome (850814909418058).

The spelling of 540513504103013 in words is "five hundred forty trillion, five hundred thirteen billion, five hundred four million, one hundred three thousand, thirteen".