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258250578317 is a prime number
BaseRepresentation
bin1111000010000011101…
…1110001100110001101
3220200120221000122211222
43300200323301212031
513212344122001232
6314345542053125
724441455460644
oct3604073614615
9820527018758
10258250578317
119a58379a916
124207371a1a5
131b4784b79b4
14c6dc4a635b
156ab730ed12
hex3c20ef198d

258250578317 has 2 divisors, whose sum is σ = 258250578318. Its totient is φ = 258250578316.

The previous prime is 258250578269. The next prime is 258250578331. The reversal of 258250578317 is 713875052852.

It is a happy number.

258250578317 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., 154554341956 + 103696236361 = 393134^2 + 322019^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-258250578317 is a prime.

It is a super-2 number, since 2×2582505783172 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (258250578617) 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, 129125289158 + 129125289159.

It is an arithmetic number, because the mean of its divisors is an integer number (129125289159).

Almost surely, 2258250578317 is an apocalyptic number.

It is an amenable number.

258250578317 is a deficient number, since it is larger than the sum of its proper divisors (1).

258250578317 is an equidigital number, since it uses as much as digits as its factorization.

258250578317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4704000, while the sum is 53.

The spelling of 258250578317 in words is "two hundred fifty-eight billion, two hundred fifty million, five hundred seventy-eight thousand, three hundred seventeen".