540503013 has 32 divisors (see below), whose sum is σ = 797184000. Its totient is φ = 324219456.

The previous prime is 540503009. The next prime is 540503017. The reversal of 540503013 is 310305045.

It is an interprime number because it is at equal distance from previous prime (540503009) and next prime (540503017).

It is not a de Polignac number, because 540503013 - 2² = 540503009 is a prime.

It is a super-3 number, since 3×540503013³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540503017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193956 + ... + 196722.

It is an arithmetic number, because the mean of its divisors is an integer number (24912000).

Almost surely, 2^540503013 is an apocalyptic number.

It is an amenable number.

540503013 is a deficient number, since it is larger than the sum of its proper divisors (256680987).

540503013 is a wasteful number, since it uses less digits than its factorization.

540503013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2961.

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 540503013 is about 23248.7206744801. The cubic root of 540503013 is about 814.5780560178.

Adding to 540503013 its reverse (310305045), we get a palindrome (850808058).

The spelling of 540503013 in words is "five hundred forty million, five hundred three thousand, thirteen".