Search a number
-
+
1313053057 is a prime number
BaseRepresentation
bin100111001000011…
…1001100110000001
310101111202000011201
41032100321212001
510142120144212
6334143141201
744352524011
oct11620714601
93344660151
101313053057
11614203218
123078a4801
1317c058394
14c655bc41
157a41cb57
hex4e439981

1313053057 has 2 divisors, whose sum is σ = 1313053058. Its totient is φ = 1313053056.

The previous prime is 1313053051. The next prime is 1313053067. The reversal of 1313053057 is 7503503131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1059893136 + 253159921 = 32556^2 + 15911^2 .

It is an emirp because it is prime and its reverse (7503503131) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1313053057 is a prime.

It is not a weakly prime, because it can be changed into another prime (1313053051) 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, 656526528 + 656526529.

It is an arithmetic number, because the mean of its divisors is an integer number (656526529).

Almost surely, 21313053057 is an apocalyptic number.

It is an amenable number.

1313053057 is a deficient number, since it is larger than the sum of its proper divisors (1).

1313053057 is an equidigital number, since it uses as much as digits as its factorization.

1313053057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4725, while the sum is 28.

The square root of 1313053057 is about 36236.0739733211. The cubic root of 1313053057 is about 1095.0335490093.

Adding to 1313053057 its reverse (7503503131), we get a palindrome (8816556188).

The spelling of 1313053057 in words is "one billion, three hundred thirteen million, fifty-three thousand, fifty-seven".