506416409 has 2 divisors, whose sum is σ = 506416410. Its totient is φ = 506416408.

The previous prime is 506416397. The next prime is 506416439. The reversal of 506416409 is 904614605.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 367105600 + 139310809 = 19160^2 + 11803^2 .

It is a cyclic number.

It is not a de Polignac number, because 506416409 - 2²⁴ = 489639193 is a prime.

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 (506416439) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253208204 + 253208205.

It is an arithmetic number, because the mean of its divisors is an integer number (253208205).

Almost surely, 2^506416409 is an apocalyptic number.

It is an amenable number.

506416409 is a deficient number, since it is larger than the sum of its proper divisors (1).

506416409 is an equidigital number, since it uses as much as digits as its factorization.

506416409 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 506416409 is about 22503.6976739379. The cubic root of 506416409 is about 797.0812437154.

The spelling of 506416409 in words is "five hundred six million, four hundred sixteen thousand, four hundred nine".