540362313 has 16 divisors (see below), whose sum is σ = 802925760. Its totient is φ = 359166528.

The previous prime is 540362311. The next prime is 540362363. The reversal of 540362313 is 313263045.

It is a happy number.

It is not a de Polignac number, because 540362313 - 2¹ = 540362311 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (540362311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20595 + ... + 38792.

It is an arithmetic number, because the mean of its divisors is an integer number (50182860).

Almost surely, 2^540362313 is an apocalyptic number.

It is an amenable number.

540362313 is a deficient number, since it is larger than the sum of its proper divisors (262563447).

540362313 is a wasteful number, since it uses less digits than its factorization.

540362313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59733 (or 59727 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 540362313 is about 23245.6945045744. The cubic root of 540362313 is about 814.5073681116.

The spelling of 540362313 in words is "five hundred forty million, three hundred sixty-two thousand, three hundred thirteen".