Search a number
-
+
13001251553 is a prime number
BaseRepresentation
bin11000001101110111…
…10101101011100001
31020120002011000021022
430012323311223201
5203111310022203
65550033535225
7640116546323
oct140673655341
936502130238
1013001251553
11557195a7a4
12262a114515
1312c271c574
148b49b3613
155115eca38
hex306ef5ae1

13001251553 has 2 divisors, whose sum is σ = 13001251554. Its totient is φ = 13001251552.

The previous prime is 13001251489. The next prime is 13001251559. The reversal of 13001251553 is 35515210031.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12456122449 + 545129104 = 111607^2 + 23348^2 .

It is a cyclic number.

It is not a de Polignac number, because 13001251553 - 26 = 13001251489 is a prime.

It is not a weakly prime, because it can be changed into another prime (13001251559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6500625776 + 6500625777.

It is an arithmetic number, because the mean of its divisors is an integer number (6500625777).

Almost surely, 213001251553 is an apocalyptic number.

It is an amenable number.

13001251553 is a deficient number, since it is larger than the sum of its proper divisors (1).

13001251553 is an equidigital number, since it uses as much as digits as its factorization.

13001251553 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2250, while the sum is 26.

Adding to 13001251553 its reverse (35515210031), we get a palindrome (48516461584).

The spelling of 13001251553 in words is "thirteen billion, one million, two hundred fifty-one thousand, five hundred fifty-three".