Search a number
-
+
259396801 is a prime number
BaseRepresentation
bin11110111011000…
…01010011000001
3200002002201111221
433131201103001
51012401144201
641423435041
76266556616
oct1735412301
9602081457
10259396801
11123471724
1272a55a81
1341982841
142664450d
1517b8d4a1
hexf7614c1

259396801 has 2 divisors, whose sum is σ = 259396802. Its totient is φ = 259396800.

The previous prime is 259396799. The next prime is 259396817. The reversal of 259396801 is 108693952.

It is a happy number.

259396801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 177023025 + 82373776 = 13305^2 + 9076^2 .

It is a cyclic number.

It is not a de Polignac number, because 259396801 - 21 = 259396799 is a prime.

Together with 259396799, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (259396831) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129698400 + 129698401.

It is an arithmetic number, because the mean of its divisors is an integer number (129698401).

Almost surely, 2259396801 is an apocalyptic number.

It is an amenable number.

259396801 is a deficient number, since it is larger than the sum of its proper divisors (1).

259396801 is an equidigital number, since it uses as much as digits as its factorization.

259396801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 116640, while the sum is 43.

The square root of 259396801 is about 16105.8002284891. The cubic root of 259396801 is about 637.7564681782.

The spelling of 259396801 in words is "two hundred fifty-nine million, three hundred ninety-six thousand, eight hundred one".