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258288623 is a prime number
BaseRepresentation
bin11110110010100…
…10101111101111
3200000000102101022
433121102233233
51012110213443
641344004355
76254263025
oct1731225757
9600012338
10258288623
1112288507a
12726006bb
1341685308
1426436715
1517a1ee68
hexf652bef

258288623 has 2 divisors, whose sum is σ = 258288624. Its totient is φ = 258288622.

The previous prime is 258288577. The next prime is 258288647. The reversal of 258288623 is 326882852.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-258288623 is a prime.

It is a super-2 number, since 2×2582886232 = 133426025542472258, which contains 22 as substring.

It is a Sophie Germain prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (258288523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129144311 + 129144312.

It is an arithmetic number, because the mean of its divisors is an integer number (129144312).

Almost surely, 2258288623 is an apocalyptic number.

258288623 is a deficient number, since it is larger than the sum of its proper divisors (1).

258288623 is an equidigital number, since it uses as much as digits as its factorization.

258288623 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 368640, while the sum is 44.

The square root of 258288623 is about 16071.3603344583. The cubic root of 258288623 is about 636.8469780065.

The spelling of 258288623 in words is "two hundred fifty-eight million, two hundred eighty-eight thousand, six hundred twenty-three".