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258423537217 is a prime number
BaseRepresentation
bin1111000010101100111…
…1100011111001000001
3220201000222110212212011
43300223033203321001
513213222411142332
6314415041132521
724445655552206
oct3605317437101
9821028425764
10258423537217
119a66239345a
124210162a141
131b4a5294a41
14c717449cad
156ac75c6e47
hex3c2b3e3e41

258423537217 has 2 divisors, whose sum is σ = 258423537218. Its totient is φ = 258423537216.

The previous prime is 258423537191. The next prime is 258423537233. The reversal of 258423537217 is 712735324852.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 231287893776 + 27135643441 = 480924^2 + 164729^2 .

It is a cyclic number.

It is not a de Polignac number, because 258423537217 - 227 = 258289319489 is a prime.

It is not a weakly prime, because it can be changed into another prime (258423517217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129211768608 + 129211768609.

It is an arithmetic number, because the mean of its divisors is an integer number (129211768609).

Almost surely, 2258423537217 is an apocalyptic number.

It is an amenable number.

258423537217 is a deficient number, since it is larger than the sum of its proper divisors (1).

258423537217 is an equidigital number, since it uses as much as digits as its factorization.

258423537217 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2822400, while the sum is 49.

The spelling of 258423537217 in words is "two hundred fifty-eight billion, four hundred twenty-three million, five hundred thirty-seven thousand, two hundred seventeen".