505415681 has 2 divisors, whose sum is σ = 505415682. Its totient is φ = 505415680.

The previous prime is 505415657. The next prime is 505415689. The reversal of 505415681 is 186514505.

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., 350288656 + 155127025 = 18716^2 + 12455^2 .

It is a cyclic number.

It is not a de Polignac number, because 505415681 - 2²² = 501221377 is a prime.

It is a super-2 number, since 2×505415681² = 510890021201387522, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (505415689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252707840 + 252707841.

It is an arithmetic number, because the mean of its divisors is an integer number (252707841).

Almost surely, 2^505415681 is an apocalyptic number.

It is an amenable number.

505415681 is a deficient number, since it is larger than the sum of its proper divisors (1).

505415681 is an equidigital number, since it uses as much as digits as its factorization.

505415681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24000, while the sum is 35.

The square root of 505415681 is about 22481.4519326488. The cubic root of 505415681 is about 796.5558608479. Note that the first 3 decimals are identical.

The spelling of 505415681 in words is "five hundred five million, four hundred fifteen thousand, six hundred eighty-one".