505364005537 has 2 divisors, whose sum is σ = 505364005538. Its totient is φ = 505364005536.

The previous prime is 505364005511. The next prime is 505364005547. The reversal of 505364005537 is 735500463505.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 493873023121 + 11490982416 = 702761^2 + 107196^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-505364005537 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 505364005493 and 505364005502.

It is not a weakly prime, because it can be changed into another prime (505364005547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252682002768 + 252682002769.

It is an arithmetic number, because the mean of its divisors is an integer number (252682002769).

Almost surely, 2^505364005537 is an apocalyptic number.

It is an amenable number.

505364005537 is a deficient number, since it is larger than the sum of its proper divisors (1).

505364005537 is an equidigital number, since it uses as much as digits as its factorization.

505364005537 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 945000, while the sum is 43.

The spelling of 505364005537 in words is "five hundred five billion, three hundred sixty-four million, five thousand, five hundred thirty-seven".