540067331 has 2 divisors, whose sum is σ = 540067332. Its totient is φ = 540067330.

The previous prime is 540067313. The next prime is 540067349. The reversal of 540067331 is 133760045.

Together with previous prime (540067313) it forms an Ormiston pair, because they use the same digits, order apart.

It is a balanced prime because it is at equal distance from previous prime (540067313) and next prime (540067349).

It is a cyclic number.

It is not a de Polignac number, because 540067331 - 2²⁶ = 472958467 is a prime.

It is a super-2 number, since 2×540067331² = 583345444026927122, which contains 22 as substring.

It is a Sophie Germain prime.

It is a junction number, because it is equal to n+sod(n) for n = 540067294 and 540067303.

It is not a weakly prime, because it can be changed into another prime (540067351) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270033665 + 270033666.

It is an arithmetic number, because the mean of its divisors is an integer number (270033666).

Almost surely, 2^540067331 is an apocalyptic number.

540067331 is a deficient number, since it is larger than the sum of its proper divisors (1).

540067331 is an equidigital number, since it uses as much as digits as its factorization.

540067331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7560, while the sum is 29.

The square root of 540067331 is about 23239.3487645416. The cubic root of 540067331 is about 814.3591288409.

The spelling of 540067331 in words is "five hundred forty million, sixty-seven thousand, three hundred thirty-one".