504536727241753 has 2 divisors, whose sum is σ = 504536727241754. Its totient is φ = 504536727241752.

The previous prime is 504536727241747. The next prime is 504536727241759. The reversal of 504536727241753 is 357142727635405.

It is a balanced prime because it is at equal distance from previous prime (504536727241747) and next prime (504536727241759).

It can be written as a sum of positive squares in only one way, i.e., 377927130361104 + 126609596880649 = 19440348^2 + 11252093^2 .

It is a cyclic number.

It is not a de Polignac number, because 504536727241753 - 2¹⁷ = 504536727110681 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 504536727241691 and 504536727241700.

It is not a weakly prime, because it can be changed into another prime (504536727241759) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252268363620876 + 252268363620877.

It is an arithmetic number, because the mean of its divisors is an integer number (252268363620877).

Almost surely, 2^{504536727241753} is an apocalyptic number.

It is an amenable number.

504536727241753 is a deficient number, since it is larger than the sum of its proper divisors (1).

504536727241753 is an equidigital number, since it uses as much as digits as its factorization.

504536727241753 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 148176000, while the sum is 61.

The spelling of 504536727241753 in words is "five hundred four trillion, five hundred thirty-six billion, seven hundred twenty-seven million, two hundred forty-one thousand, seven hundred fifty-three".