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249610013 is a prime number
BaseRepresentation
bin11101110000010…
…11111100011101
3122101200111120022
432320023330131
51002400010023
640434001525
76120435662
oct1670137435
9571614508
10249610013
11118997774
126b7162a5
133c937043
1425217a69
1516da87c8
hexee0bf1d

249610013 has 2 divisors, whose sum is σ = 249610014. Its totient is φ = 249610012.

The previous prime is 249609949. The next prime is 249610021. The reversal of 249610013 is 310016942.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 235868164 + 13741849 = 15358^2 + 3707^2 .

It is a cyclic number.

It is not a de Polignac number, because 249610013 - 26 = 249609949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (249610043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 124805006 + 124805007.

It is an arithmetic number, because the mean of its divisors is an integer number (124805007).

Almost surely, 2249610013 is an apocalyptic number.

It is an amenable number.

249610013 is a deficient number, since it is larger than the sum of its proper divisors (1).

249610013 is an equidigital number, since it uses as much as digits as its factorization.

249610013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 249610013 is about 15799.0510158047. The cubic root of 249610013 is about 629.6327859160.

Adding to 249610013 its reverse (310016942), we get a palindrome (559626955).

The spelling of 249610013 in words is "two hundred forty-nine million, six hundred ten thousand, thirteen".