Search a number
-
+
5178058765157 is a prime number
BaseRepresentation
bin100101101011001110001…
…0110100111001101100101
3200100000110211002121002002
41023112130112213031211
51134314131020441112
615002433425455045
71043050060202345
oct113263426471545
920300424077062
105178058765157
1117170031aa223
126b76614a1485
132b739a798335
1413c895822d25
158ea5e7c41c2
hex4b59c5a7365

5178058765157 has 2 divisors, whose sum is σ = 5178058765158. Its totient is φ = 5178058765156.

The previous prime is 5178058765111. The next prime is 5178058765199. The reversal of 5178058765157 is 7515678508715.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3298749532516 + 1879309232641 = 1816246^2 + 1370879^2 .

It is a cyclic number.

It is not a de Polignac number, because 5178058765157 - 26 = 5178058765093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5178058765093 and 5178058765102.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (5178058765757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2589029382578 + 2589029382579.

It is an arithmetic number, because the mean of its divisors is an integer number (2589029382579).

Almost surely, 25178058765157 is an apocalyptic number.

It is an amenable number.

5178058765157 is a deficient number, since it is larger than the sum of its proper divisors (1).

5178058765157 is an equidigital number, since it uses as much as digits as its factorization.

5178058765157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 82320000, while the sum is 65.

The spelling of 5178058765157 in words is "five trillion, one hundred seventy-eight billion, fifty-eight million, seven hundred sixty-five thousand, one hundred fifty-seven".