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1303331257 is a prime number
BaseRepresentation
bin100110110101111…
…0100000110111001
310100211110002101001
41031223310012321
510132123100012
6333154525001
744204063404
oct11553640671
93324402331
101303331257
11609773078
12304596761
1317a033337
14c514ad3b
157964c357
hex4daf41b9

1303331257 has 2 divisors, whose sum is σ = 1303331258. Its totient is φ = 1303331256.

The previous prime is 1303331243. The next prime is 1303331273. The reversal of 1303331257 is 7521333031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 974126521 + 329204736 = 31211^2 + 18144^2 .

It is an emirp because it is prime and its reverse (7521333031) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1303331257 is a prime.

It is not a weakly prime, because it can be changed into another prime (1303331297) 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, 651665628 + 651665629.

It is an arithmetic number, because the mean of its divisors is an integer number (651665629).

Almost surely, 21303331257 is an apocalyptic number.

It is an amenable number.

1303331257 is a deficient number, since it is larger than the sum of its proper divisors (1).

1303331257 is an equidigital number, since it uses as much as digits as its factorization.

1303331257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5670, while the sum is 28.

The square root of 1303331257 is about 36101.6794207693. The cubic root of 1303331257 is about 1092.3243212883.

Adding to 1303331257 its reverse (7521333031), we get a palindrome (8824664288).

The spelling of 1303331257 in words is "one billion, three hundred three million, three hundred thirty-one thousand, two hundred fifty-seven".