Search a number
-
+
5205205777153 is a prime number
BaseRepresentation
bin100101110111110111001…
…1100001111101100000001
3200102121112201222200122211
41023233232130033230001
51140240230134332103
615023123304302121
71045030565042044
oct113575634175401
920377481880584
105205205777153
111727573a64128
12700978a71941
132b9b05a6ca45
1413dd0cdb2c5b
15905ecbe836d
hex4bbee70fb01

5205205777153 has 2 divisors, whose sum is σ = 5205205777154. Its totient is φ = 5205205777152.

The previous prime is 5205205777141. The next prime is 5205205777201. The reversal of 5205205777153 is 3517775025025.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3781749187584 + 1423456589569 = 1944672^2 + 1193087^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-5205205777153 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5205205777097 and 5205205777106.

It is not a weakly prime, because it can be changed into another prime (5205205747153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2602602888576 + 2602602888577.

It is an arithmetic number, because the mean of its divisors is an integer number (2602602888577).

Almost surely, 25205205777153 is an apocalyptic number.

It is an amenable number.

5205205777153 is a deficient number, since it is larger than the sum of its proper divisors (1).

5205205777153 is an equidigital number, since it uses as much as digits as its factorization.

5205205777153 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2572500, while the sum is 49.

The spelling of 5205205777153 in words is "five trillion, two hundred five billion, two hundred five million, seven hundred seventy-seven thousand, one hundred fifty-three".