505023721531753 has 2 divisors, whose sum is σ = 505023721531754. Its totient is φ = 505023721531752.

The previous prime is 505023721531723. The next prime is 505023721531789. The reversal of 505023721531753 is 357135127320505.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 407175776888409 + 97847944643344 = 20178597^2 + 9891812^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-505023721531753 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 505023721531697 and 505023721531706.

It is not a weakly prime, because it can be changed into another prime (505023721531723) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252511860765876 + 252511860765877.

It is an arithmetic number, because the mean of its divisors is an integer number (252511860765877).

Almost surely, 2^{505023721531753} is an apocalyptic number.

It is an amenable number.

505023721531753 is a deficient number, since it is larger than the sum of its proper divisors (1).

505023721531753 is an equidigital number, since it uses as much as digits as its factorization.

505023721531753 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3307500, while the sum is 49.

The spelling of 505023721531753 in words is "five hundred five trillion, twenty-three billion, seven hundred twenty-one million, five hundred thirty-one thousand, seven hundred fifty-three".