491968249 has 2 divisors, whose sum is σ = 491968250. Its totient is φ = 491968248.

The previous prime is 491968193. The next prime is 491968259. The reversal of 491968249 is 942869194.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 403005625 + 88962624 = 20075^2 + 9432^2 .

It is a cyclic number.

It is not a de Polignac number, because 491968249 - 2¹³ = 491960057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 491968196 and 491968205.

It is not a weakly prime, because it can be changed into another prime (491968259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 245984124 + 245984125.

It is an arithmetic number, because the mean of its divisors is an integer number (245984125).

Almost surely, 2^491968249 is an apocalyptic number.

It is an amenable number.

491968249 is a deficient number, since it is larger than the sum of its proper divisors (1).

491968249 is an equidigital number, since it uses as much as digits as its factorization.

491968249 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1119744, while the sum is 52.

The square root of 491968249 is about 22180.3572784570. The cubic root of 491968249 is about 789.4276947784.

The spelling of 491968249 in words is "four hundred ninety-one million, nine hundred sixty-eight thousand, two hundred forty-nine".