505751232526763 has 2 divisors, whose sum is σ = 505751232526764. Its totient is φ = 505751232526762.

The previous prime is 505751232526747. The next prime is 505751232526777. The reversal of 505751232526763 is 367625232157505.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 505751232526763 - 2⁴ = 505751232526747 is a prime.

It is a super-2 number, since 2×505751232526763² (a number of 30 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is not a weakly prime, because it can be changed into another prime (505751232520763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252875616263381 + 252875616263382.

It is an arithmetic number, because the mean of its divisors is an integer number (252875616263382).

Almost surely, 2^{505751232526763} is an apocalyptic number.

505751232526763 is a deficient number, since it is larger than the sum of its proper divisors (1).

505751232526763 is an equidigital number, since it uses as much as digits as its factorization.

505751232526763 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 79380000, while the sum is 59.

The spelling of 505751232526763 in words is "five hundred five trillion, seven hundred fifty-one billion, two hundred thirty-two million, five hundred twenty-six thousand, seven hundred sixty-three".