505940681 has 2 divisors, whose sum is σ = 505940682. Its totient is φ = 505940680.

The previous prime is 505940657. The next prime is 505940713. The reversal of 505940681 is 186049505.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 503329225 + 2611456 = 22435^2 + 1616^2 .

It is a cyclic number.

It is not a de Polignac number, because 505940681 - 2²⁶ = 438831817 is a prime.

It is a super-2 number, since 2×505940681² = 511951945381487522, 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 (505940081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252970340 + 252970341.

It is an arithmetic number, because the mean of its divisors is an integer number (252970341).

Almost surely, 2^505940681 is an apocalyptic number.

It is an amenable number.

505940681 is a deficient number, since it is larger than the sum of its proper divisors (1).

505940681 is an equidigital number, since it uses as much as digits as its factorization.

505940681 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 43200, while the sum is 38.

The square root of 505940681 is about 22493.1251941565. The cubic root of 505940681 is about 796.8315725886.

The spelling of 505940681 in words is "five hundred five million, nine hundred forty thousand, six hundred eighty-one".