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256813309 is a prime number
BaseRepresentation
bin11110100111010…
…10100011111101
3122220020110122001
433103222203331
51011221011214
641252222301
76235606564
oct1723524375
9586213561
10256813309
11121a67705
127200a991
134128994c
1426170bdb
151782cc74
hexf4ea8fd

256813309 has 2 divisors, whose sum is σ = 256813310. Its totient is φ = 256813308.

The previous prime is 256813307. The next prime is 256813351. The reversal of 256813309 is 903318652.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 248945284 + 7868025 = 15778^2 + 2805^2 .

It is a cyclic number.

It is not a de Polignac number, because 256813309 - 21 = 256813307 is a prime.

Together with 256813307, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (256813303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128406654 + 128406655.

It is an arithmetic number, because the mean of its divisors is an integer number (128406655).

Almost surely, 2256813309 is an apocalyptic number.

It is an amenable number.

256813309 is a deficient number, since it is larger than the sum of its proper divisors (1).

256813309 is an equidigital number, since it uses as much as digits as its factorization.

256813309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 256813309 is about 16025.3957517435. The cubic root of 256813309 is about 635.6321305560.

The spelling of 256813309 in words is "two hundred fifty-six million, eight hundred thirteen thousand, three hundred nine".