506416381 has 2 divisors, whose sum is σ = 506416382. Its totient is φ = 506416380.

The previous prime is 506416333. The next prime is 506416397. The reversal of 506416381 is 183614605.

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., 488012281 + 18404100 = 22091^2 + 4290^2 .

It is a cyclic number.

It is not a de Polignac number, because 506416381 - 2¹⁵ = 506383613 is a prime.

It is a super-2 number, since 2×506416381² = 512915101890274322, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (506416321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253208190 + 253208191.

It is an arithmetic number, because the mean of its divisors is an integer number (253208191).

Almost surely, 2^506416381 is an apocalyptic number.

It is an amenable number.

506416381 is a deficient number, since it is larger than the sum of its proper divisors (1).

506416381 is an equidigital number, since it uses as much as digits as its factorization.

506416381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 506416381 is about 22503.6970518180. The cubic root of 506416381 is about 797.0812290250.

The spelling of 506416381 in words is "five hundred six million, four hundred sixteen thousand, three hundred eighty-one".