540500013 has 32 divisors (see below), whose sum is σ = 811130880. Its totient is φ = 355693680.

The previous prime is 540499997. The next prime is 540500027. The reversal of 540500013 is 310005045.

It is not a de Polignac number, because 540500013 - 2⁴ = 540499997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540500053) 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, 840270 + ... + 840912.

It is an arithmetic number, because the mean of its divisors is an integer number (25347840).

Almost surely, 2^540500013 is an apocalyptic number.

It is an amenable number.

540500013 is a deficient number, since it is larger than the sum of its proper divisors (270630867).

540500013 is a wasteful number, since it uses less digits than its factorization.

540500013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 540500013 is about 23248.6561547114. The cubic root of 540500013 is about 814.5765489410.

Adding to 540500013 its reverse (310005045), we get a palindrome (850505058).

The spelling of 540500013 in words is "five hundred forty million, five hundred thousand, thirteen".