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259520801 is a prime number
BaseRepresentation
bin11110111011111…
…11100100100001
3200002100000121112
433131333210201
51012414131201
641430233105
76300614261
oct1735774441
9602300545
10259520801
11123546901
1272ab5795
13419c7107
14266777a1
1517bb50bb
hexf77f921

259520801 has 2 divisors, whose sum is σ = 259520802. Its totient is φ = 259520800.

The previous prime is 259520771. The next prime is 259520803. The reversal of 259520801 is 108025952.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 154355776 + 105165025 = 12424^2 + 10255^2 .

It is a cyclic number.

It is not a de Polignac number, because 259520801 - 214 = 259504417 is a prime.

Together with 259520803, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (259520803) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129760400 + 129760401.

It is an arithmetic number, because the mean of its divisors is an integer number (129760401).

Almost surely, 2259520801 is an apocalyptic number.

It is an amenable number.

259520801 is a deficient number, since it is larger than the sum of its proper divisors (1).

259520801 is an equidigital number, since it uses as much as digits as its factorization.

259520801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7200, while the sum is 32.

The square root of 259520801 is about 16109.6493133774. The cubic root of 259520801 is about 637.8580746795.

The spelling of 259520801 in words is "two hundred fifty-nine million, five hundred twenty thousand, eight hundred one".