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258306913 is a prime number
BaseRepresentation
bin11110110010101…
…11001101100001
3200000001100110201
433121113031201
51012111310123
641344225201
76254400244
oct1731271541
9600040421
10258306913
11122897897
127260b201
1341690737
142643d25b
1517a255ad
hexf657361

258306913 has 2 divisors, whose sum is σ = 258306914. Its totient is φ = 258306912.

The previous prime is 258306907. The next prime is 258306931. The reversal of 258306913 is 319603852.

Together with next prime (258306931) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 241398369 + 16908544 = 15537^2 + 4112^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-258306913 is a prime.

It is a super-2 number, since 2×2583069132 = 133444922607179138, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (258306943) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129153456 + 129153457.

It is an arithmetic number, because the mean of its divisors is an integer number (129153457).

Almost surely, 2258306913 is an apocalyptic number.

It is an amenable number.

258306913 is a deficient number, since it is larger than the sum of its proper divisors (1).

258306913 is an equidigital number, since it uses as much as digits as its factorization.

258306913 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 258306913 is about 16071.9293490234. The cubic root of 258306913 is about 636.8620098420.

The spelling of 258306913 in words is "two hundred fifty-eight million, three hundred six thousand, nine hundred thirteen".