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258161681 is a prime number
BaseRepresentation
bin11110110001100…
…11110000010001
3122222202222020202
433120303300101
51012042133211
641341144545
76253223651
oct1730636021
9588688222
10258161681
111227a8768
127255b155
134163c5bb
1426402361
15179e753b
hexf633c11

258161681 has 2 divisors, whose sum is σ = 258161682. Its totient is φ = 258161680.

The previous prime is 258161671. The next prime is 258161689. The reversal of 258161681 is 186161852.

258161681 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 162435025 + 95726656 = 12745^2 + 9784^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-258161681 is a prime.

It is a super-2 number, since 2×2581616812 = 133294907073491522, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (258161689) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129080840 + 129080841.

It is an arithmetic number, because the mean of its divisors is an integer number (129080841).

Almost surely, 2258161681 is an apocalyptic number.

It is an amenable number.

258161681 is a deficient number, since it is larger than the sum of its proper divisors (1).

258161681 is an equidigital number, since it uses as much as digits as its factorization.

258161681 is an evil number, because the sum of its binary digits is even.

The product of its digits is 23040, while the sum is 38.

The square root of 258161681 is about 16067.4105256572. The cubic root of 258161681 is about 636.7426297832.

The spelling of 258161681 in words is "two hundred fifty-eight million, one hundred sixty-one thousand, six hundred eighty-one".