Search a number
-
+
13035613 is a prime number
BaseRepresentation
bin110001101110…
…100001011101
3220112021111111
4301232201131
511314114423
61143222021
7215541463
oct61564135
926467444
1013035613
1173a3938
124447911
1329154a6
141a34833
15122760d
hexc6e85d

13035613 has 2 divisors, whose sum is σ = 13035614. Its totient is φ = 13035612.

The previous prime is 13035601. The next prime is 13035623. The reversal of 13035613 is 31653031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6775609 + 6260004 = 2603^2 + 2502^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13035613 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13035623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6517806 + 6517807.

It is an arithmetic number, because the mean of its divisors is an integer number (6517807).

Almost surely, 213035613 is an apocalyptic number.

It is an amenable number.

13035613 is a deficient number, since it is larger than the sum of its proper divisors (1).

13035613 is an equidigital number, since it uses as much as digits as its factorization.

13035613 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 810, while the sum is 22.

The square root of 13035613 is about 3610.4865323111. The cubic root of 13035613 is about 235.3479860353.

Adding to 13035613 its reverse (31653031), we get a palindrome (44688644).

The spelling of 13035613 in words is "thirteen million, thirty-five thousand, six hundred thirteen".