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256253046901 is a prime number
BaseRepresentation
bin1110111010100111011…
…1110011000001110101
3220111102201022112212221
43232221313303001311
513144301240000101
6313415424042341
724341121650125
oct3565167630165
9814381275787
10256253046901
1199749189a05
12417b67633b1
131b21a6c6147
14c58d090c85
1569ebc88aa1
hex3ba9df3075

256253046901 has 2 divisors, whose sum is σ = 256253046902. Its totient is φ = 256253046900.

The previous prime is 256253046893. The next prime is 256253046913. The reversal of 256253046901 is 109640352652.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 187141894801 + 69111152100 = 432599^2 + 262890^2 .

It is a cyclic number.

It is not a de Polignac number, because 256253046901 - 23 = 256253046893 is a prime.

It is a super-2 number, since 2×2562530469012 (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 (256253056901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128126523450 + 128126523451.

It is an arithmetic number, because the mean of its divisors is an integer number (128126523451).

Almost surely, 2256253046901 is an apocalyptic number.

It is an amenable number.

256253046901 is a deficient number, since it is larger than the sum of its proper divisors (1).

256253046901 is an equidigital number, since it uses as much as digits as its factorization.

256253046901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 388800, while the sum is 43.

The spelling of 256253046901 in words is "two hundred fifty-six billion, two hundred fifty-three million, forty-six thousand, nine hundred one".