505006993 has 2 divisors, whose sum is σ = 505006994. Its totient is φ = 505006992.

The previous prime is 505006987. The next prime is 505007003. The reversal of 505006993 is 399600505.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 312158224 + 192848769 = 17668^2 + 13887^2 .

It is a cyclic number.

It is not a de Polignac number, because 505006993 - 2¹³ = 504998801 is a prime.

505006993 is a modest number, since divided by 6993 gives 505 as remainder.

It is equal to p_26605378 and since 505006993 and 26605378 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 (505006903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252503496 + 252503497.

It is an arithmetic number, because the mean of its divisors is an integer number (252503497).

Almost surely, 2^505006993 is an apocalyptic number.

It is an amenable number.

505006993 is a deficient number, since it is larger than the sum of its proper divisors (1).

505006993 is an equidigital number, since it uses as much as digits as its factorization.

505006993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36450, while the sum is 37.

The square root of 505006993 is about 22472.3606459135. The cubic root of 505006993 is about 796.3410999294.

The spelling of 505006993 in words is "five hundred five million, six thousand, nine hundred ninety-three".