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259188451057 is a prime number
BaseRepresentation
bin1111000101100011010…
…1011110011011110001
3220210000021210112101101
43301120311132123301
513221304220413212
6315023004004401
724503634324544
oct3613065363361
9823007715341
10259188451057
119aa1513a558
1242295830701
131b5978b1893
14c78ac8085b
156b1e81d157
hex3c58d5e6f1

259188451057 has 2 divisors, whose sum is σ = 259188451058. Its totient is φ = 259188451056.

The previous prime is 259188451031. The next prime is 259188451097. The reversal of 259188451057 is 750154881952.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 207003160576 + 52185290481 = 454976^2 + 228441^2 .

It is a cyclic number.

It is not a de Polignac number, because 259188451057 - 231 = 257040967409 is a prime.

It is a super-2 number, since 2×2591884510572 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 259188450989 and 259188451007.

It is not a weakly prime, because it can be changed into another prime (259188451097) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129594225528 + 129594225529.

It is an arithmetic number, because the mean of its divisors is an integer number (129594225529).

Almost surely, 2259188451057 is an apocalyptic number.

It is an amenable number.

259188451057 is a deficient number, since it is larger than the sum of its proper divisors (1).

259188451057 is an equidigital number, since it uses as much as digits as its factorization.

259188451057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4032000, while the sum is 55.

The spelling of 259188451057 in words is "two hundred fifty-nine billion, one hundred eighty-eight million, four hundred fifty-one thousand, fifty-seven".