540813829 has 2 divisors, whose sum is σ = 540813830. Its totient is φ = 540813828.

The previous prime is 540813811. The next prime is 540813839. The reversal of 540813829 is 928318045.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 418202500 + 122611329 = 20450^2 + 11073^2 .

It is a cyclic number.

It is not a de Polignac number, because 540813829 - 2¹¹ = 540811781 is a prime.

It is a super-3 number, since 3×540813829³ (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 540813791 and 540813800.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (540813839) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270406914 + 270406915.

It is an arithmetic number, because the mean of its divisors is an integer number (270406915).

Almost surely, 2^540813829 is an apocalyptic number.

It is an amenable number.

540813829 is a deficient number, since it is larger than the sum of its proper divisors (1).

540813829 is an equidigital number, since it uses as much as digits as its factorization.

540813829 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 540813829 is about 23255.4042966361. The cubic root of 540813829 is about 814.7341670054.

The spelling of 540813829 in words is "five hundred forty million, eight hundred thirteen thousand, eight hundred twenty-nine".