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258551312741 is a prime number
BaseRepresentation
bin1111000011001011011…
…0111111000101100101
3220201100212220112220222
43300302312333011211
513214003114001431
6314435443534125
724452066616461
oct3606266770545
9821325815828
10258551312741
119a718526067
124213838a345
131b4c58b1b67
14c72a3cb4a1
156ad391657b
hex3c32dbf165

258551312741 has 2 divisors, whose sum is σ = 258551312742. Its totient is φ = 258551312740.

The previous prime is 258551312653. The next prime is 258551312753. The reversal of 258551312741 is 147213155852.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 185656712641 + 72894600100 = 430879^2 + 269990^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-258551312741 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 258551312692 and 258551312701.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (258551315741) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129275656370 + 129275656371.

It is an arithmetic number, because the mean of its divisors is an integer number (129275656371).

Almost surely, 2258551312741 is an apocalyptic number.

It is an amenable number.

258551312741 is a deficient number, since it is larger than the sum of its proper divisors (1).

258551312741 is an equidigital number, since it uses as much as digits as its factorization.

258551312741 is an evil number, because the sum of its binary digits is even.

The product of its digits is 336000, while the sum is 44.

The spelling of 258551312741 in words is "two hundred fifty-eight billion, five hundred fifty-one million, three hundred twelve thousand, seven hundred forty-one".