540964129 has 2 divisors, whose sum is σ = 540964130. Its totient is φ = 540964128.

The previous prime is 540964093. The next prime is 540964133. The reversal of 540964129 is 921469045.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 311593104 + 229371025 = 17652^2 + 15145^2 .

It is a cyclic number.

It is not a de Polignac number, because 540964129 - 2⁷ = 540964001 is a prime.

It is equal to p_28396363 and since 540964129 and 28396363 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 540964091 and 540964100.

It is not a weakly prime, because it can be changed into another prime (540964169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270482064 + 270482065.

It is an arithmetic number, because the mean of its divisors is an integer number (270482065).

Almost surely, 2^540964129 is an apocalyptic number.

It is an amenable number.

540964129 is a deficient number, since it is larger than the sum of its proper divisors (1).

540964129 is an equidigital number, since it uses as much as digits as its factorization.

540964129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 540964129 is about 23258.6355790704. The cubic root of 540964129 is about 814.8096354917.

The spelling of 540964129 in words is "five hundred forty million, nine hundred sixty-four thousand, one hundred twenty-nine".