540985253 has 2 divisors, whose sum is σ = 540985254. Its totient is φ = 540985252.

The previous prime is 540985243. The next prime is 540985321. The reversal of 540985253 is 352589045.

540985253 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 539261284 + 1723969 = 23222^2 + 1313^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-540985253 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 540985253.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (540985223) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270492626 + 270492627.

It is an arithmetic number, because the mean of its divisors is an integer number (270492627).

Almost surely, 2^540985253 is an apocalyptic number.

It is an amenable number.

540985253 is a deficient number, since it is larger than the sum of its proper divisors (1).

540985253 is an equidigital number, since it uses as much as digits as its factorization.

540985253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216000, while the sum is 41.

The square root of 540985253 is about 23259.0896855401. The cubic root of 540985253 is about 814.8202411331.

The spelling of 540985253 in words is "five hundred forty million, nine hundred eighty-five thousand, two hundred fifty-three".