505497931 has 2 divisors, whose sum is σ = 505497932. Its totient is φ = 505497930.

The previous prime is 505497851. The next prime is 505497977. The reversal of 505497931 is 139794505.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 505497931 - 2⁷ = 505497803 is a prime.

It is a super-2 number, since 2×505497931² = 511056316490561522, which contains 22 as substring.

It is equal to p_26629774 and since 505497931 and 26629774 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (505497991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252748965 + 252748966.

It is an arithmetic number, because the mean of its divisors is an integer number (252748966).

Almost surely, 2^505497931 is an apocalyptic number.

505497931 is a deficient number, since it is larger than the sum of its proper divisors (1).

505497931 is an equidigital number, since it uses as much as digits as its factorization.

505497931 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 170100, while the sum is 43.

The square root of 505497931 is about 22483.2811439968. The cubic root of 505497931 is about 796.5990682963.

It can be divided in two parts, 505 and 497931, that added together give a square (498436 = 706²).

The spelling of 505497931 in words is "five hundred five million, four hundred ninety-seven thousand, nine hundred thirty-one".