540440521400053 has 2 divisors, whose sum is σ = 540440521400054. Its totient is φ = 540440521400052.

The previous prime is 540440521399993. The next prime is 540440521400063. The reversal of 540440521400053 is 350004125044045.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 405107480707524 + 135333040692529 = 20127282^2 + 11633273^2 .

It is a cyclic number.

It is not a de Polignac number, because 540440521400053 - 2¹³ = 540440521391861 is a prime.

It is a super-2 number, since 2×540440521400053² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 540440521399985 and 540440521400021.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (540440521400063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270220260700026 + 270220260700027.

It is an arithmetic number, because the mean of its divisors is an integer number (270220260700027).

Almost surely, 2^{540440521400053} is an apocalyptic number.

It is an amenable number.

540440521400053 is a deficient number, since it is larger than the sum of its proper divisors (1).

540440521400053 is an equidigital number, since it uses as much as digits as its factorization.

540440521400053 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 192000, while the sum is 37.

Adding to 540440521400053 its reverse (350004125044045), we get a palindrome (890444646444098).

The spelling of 540440521400053 in words is "five hundred forty trillion, four hundred forty billion, five hundred twenty-one million, four hundred thousand, fifty-three".