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13501233257 is a prime number
BaseRepresentation
bin11001001001011110…
…00111100001101001
31021211220221201020012
430210233013201221
5210122303431012
610111414141305
7655400406041
oct144457074151
937756851205
1013501233257
1157a9104416
122749651835
131372199225
14921162721
15540460622
hex324bc7869

13501233257 has 2 divisors, whose sum is σ = 13501233258. Its totient is φ = 13501233256.

The previous prime is 13501233241. The next prime is 13501233283. The reversal of 13501233257 is 75233210531.

13501233257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7618496656 + 5882736601 = 87284^2 + 76699^2 .

It is a cyclic number.

It is not a de Polignac number, because 13501233257 - 24 = 13501233241 is a prime.

It is not a weakly prime, because it can be changed into another prime (13501233227) 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, 6750616628 + 6750616629.

It is an arithmetic number, because the mean of its divisors is an integer number (6750616629).

Almost surely, 213501233257 is an apocalyptic number.

It is an amenable number.

13501233257 is a deficient number, since it is larger than the sum of its proper divisors (1).

13501233257 is an equidigital number, since it uses as much as digits as its factorization.

13501233257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18900, while the sum is 32.

Adding to 13501233257 its reverse (75233210531), we get a palindrome (88734443788).

The spelling of 13501233257 in words is "thirteen billion, five hundred one million, two hundred thirty-three thousand, two hundred fifty-seven".