Search a number
-
+
5209468177 is a prime number
BaseRepresentation
bin1001101101000001…
…00010110100010001
3111110001112101212211
410312200202310101
541132110440202
62220532552121
7243044514604
oct46640426421
914401471784
105209468177
112233677601
121014782641
1365037c664
14375c2a33b
152075311d7
hex136822d11

5209468177 has 2 divisors, whose sum is σ = 5209468178. Its totient is φ = 5209468176.

The previous prime is 5209468141. The next prime is 5209468211. The reversal of 5209468177 is 7718649025.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2703064081 + 2506404096 = 51991^2 + 50064^2 .

It is a cyclic number.

It is not a de Polignac number, because 5209468177 - 219 = 5208943889 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 5209468177.

It is not a weakly prime, because it can be changed into another prime (5209468477) 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, 2604734088 + 2604734089.

It is an arithmetic number, because the mean of its divisors is an integer number (2604734089).

Almost surely, 25209468177 is an apocalyptic number.

It is an amenable number.

5209468177 is a deficient number, since it is larger than the sum of its proper divisors (1).

5209468177 is an equidigital number, since it uses as much as digits as its factorization.

5209468177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 846720, while the sum is 49.

The square root of 5209468177 is about 72176.6456480211. The cubic root of 5209468177 is about 1733.5290737979.

The spelling of 5209468177 in words is "five billion, two hundred nine million, four hundred sixty-eight thousand, one hundred seventy-seven".