Search a number
-
+
287589316801 is a prime number
BaseRepresentation
bin1000010111101011010…
…10001011100011000001
31000111022121000222221211
410023311222023203001
514202440331114201
6340041113050121
726530505600443
oct4136552134301
91014277028854
10287589316801
11100a69743326
12478a10b6941
1321172884c97
14dcc2b7c493
157732d69651
hex42f5a8b8c1

287589316801 has 2 divisors, whose sum is σ = 287589316802. Its totient is φ = 287589316800.

The previous prime is 287589316787. The next prime is 287589316837. The reversal of 287589316801 is 108613985782.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 231693009025 + 55896307776 = 481345^2 + 236424^2 .

It is a cyclic number.

It is not a de Polignac number, because 287589316801 - 217 = 287589185729 is a prime.

It is not a weakly prime, because it can be changed into another prime (287589316901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 143794658400 + 143794658401.

It is an arithmetic number, because the mean of its divisors is an integer number (143794658401).

Almost surely, 2287589316801 is an apocalyptic number.

It is an amenable number.

287589316801 is a deficient number, since it is larger than the sum of its proper divisors (1).

287589316801 is an equidigital number, since it uses as much as digits as its factorization.

287589316801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5806080, while the sum is 58.

The spelling of 287589316801 in words is "two hundred eighty-seven billion, five hundred eighty-nine million, three hundred sixteen thousand, eight hundred one".