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258072064469 is a prime number
BaseRepresentation
bin1111000001011001001…
…0110011000111010101
3220200010111010012212222
43300112102303013111
513212012422030334
6314320123552125
724434160232262
oct3602622630725
9820114105788
10258072064469
119a4a1a5280a
124202398b645
131b44a5143bb
14c6c28b8269
156aa67ebd2e
hex3c164b31d5

258072064469 has 2 divisors, whose sum is σ = 258072064470. Its totient is φ = 258072064468.

The previous prime is 258072064417. The next prime is 258072064507. The reversal of 258072064469 is 964460270852.

It is a happy number.

258072064469 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., 252516300100 + 5555764369 = 502510^2 + 74537^2 .

It is a cyclic number.

It is not a de Polignac number, because 258072064469 - 224 = 258055287253 is a prime.

It is a super-2 number, since 2×2580720644692 (a number of 24 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 258072064469.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (258072064409) 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, 129036032234 + 129036032235.

It is an arithmetic number, because the mean of its divisors is an integer number (129036032235).

Almost surely, 2258072064469 is an apocalyptic number.

It is an amenable number.

258072064469 is a deficient number, since it is larger than the sum of its proper divisors (1).

258072064469 is an equidigital number, since it uses as much as digits as its factorization.

258072064469 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5806080, while the sum is 53.

The spelling of 258072064469 in words is "two hundred fifty-eight billion, seventy-two million, sixty-four thousand, four hundred sixty-nine".