506168561 has 2 divisors, whose sum is σ = 506168562. Its totient is φ = 506168560.

The previous prime is 506168549. The next prime is 506168573. The reversal of 506168561 is 165861605.

It is a balanced prime because it is at equal distance from previous prime (506168549) and next prime (506168573).

It can be written as a sum of positive squares in only one way, i.e., 430147600 + 76020961 = 20740^2 + 8719^2 .

It is a cyclic number.

It is not a de Polignac number, because 506168561 - 2²² = 501974257 is a prime.

It is a super-2 number, since 2×506168561² = 512413224289621442, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (506168161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253084280 + 253084281.

It is an arithmetic number, because the mean of its divisors is an integer number (253084281).

Almost surely, 2^506168561 is an apocalyptic number.

It is an amenable number.

506168561 is a deficient number, since it is larger than the sum of its proper divisors (1).

506168561 is an equidigital number, since it uses as much as digits as its factorization.

506168561 is an odious number, because the sum of its binary digits is odd.

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

The square root of 506168561 is about 22498.1901716560. The cubic root of 506168561 is about 796.9511878785.

The spelling of 506168561 in words is "five hundred six million, one hundred sixty-eight thousand, five hundred sixty-one".