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258273312431 is a prime number
BaseRepresentation
bin1111000010001001001…
…0011111111010101111
3220200122111210200012012
43300202102133322233
513212420431444211
6314352113231435
724442152635111
oct3604222377257
9820574720165
10258273312431
119a595608342
124207b26257b
131b480117734
14c7015033b1
156ab9300d8b
hex3c2249feaf

258273312431 has 2 divisors, whose sum is σ = 258273312432. Its totient is φ = 258273312430.

The previous prime is 258273312331. The next prime is 258273312457. The reversal of 258273312431 is 134213372852.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-258273312431 is a prime.

It is a super-2 number, since 2×2582733124312 (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 (258273312491) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129136656215 + 129136656216.

It is an arithmetic number, because the mean of its divisors is an integer number (129136656216).

Almost surely, 2258273312431 is an apocalyptic number.

258273312431 is a deficient number, since it is larger than the sum of its proper divisors (1).

258273312431 is an equidigital number, since it uses as much as digits as its factorization.

258273312431 is an evil number, because the sum of its binary digits is even.

The product of its digits is 241920, while the sum is 41.

The spelling of 258273312431 in words is "two hundred fifty-eight billion, two hundred seventy-three million, three hundred twelve thousand, four hundred thirty-one".