540164313 has 12 divisors (see below), whose sum is σ = 840255780. Its totient is φ = 332408736.

The previous prime is 540164311. The next prime is 540164327. The reversal of 540164313 is 313461045.

540164313 is a `hidden beast` number, since 5 + 4 + 0 + 1 + 643 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 315524169 + 224640144 = 17763^2 + 14988^2 .

It is not a de Polignac number, because 540164313 - 2¹ = 540164311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (540164311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2308278 + ... + 2308511.

It is an arithmetic number, because the mean of its divisors is an integer number (70021315).

Almost surely, 2^540164313 is an apocalyptic number.

It is an amenable number.

540164313 is a deficient number, since it is larger than the sum of its proper divisors (300091467).

540164313 is a wasteful number, since it uses less digits than its factorization.

540164313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4616808 (or 4616805 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 540164313 is about 23241.4352611882. The cubic root of 540164313 is about 814.4078718065.

The spelling of 540164313 in words is "five hundred forty million, one hundred sixty-four thousand, three hundred thirteen".