540964001 has 2 divisors, whose sum is σ = 540964002. Its totient is φ = 540964000.

The previous prime is 540963989. The next prime is 540964009. The reversal of 540964001 is 100469045.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 538936225 + 2027776 = 23215^2 + 1424^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-540964001 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (540964009) 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, 270482000 + 270482001.

It is an arithmetic number, because the mean of its divisors is an integer number (270482001).

Almost surely, 2^540964001 is an apocalyptic number.

It is an amenable number.

540964001 is a deficient number, since it is larger than the sum of its proper divisors (1).

540964001 is an equidigital number, since it uses as much as digits as its factorization.

540964001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 540964001 is about 23258.6328274041. The cubic root of 540964001 is about 814.8095712264.

The spelling of 540964001 in words is "five hundred forty million, nine hundred sixty-four thousand, one".