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253086417229 is a prime number
BaseRepresentation
bin1110101110110100100…
…0000100000101001101
3220012021000202002121111
43223231020010011031
513121310110322404
6312133304132021
724166501023502
oct3535510040515
9805230662544
10253086417229
1198373759198
1241072167011
131ab3463c689
14c36c6b14a9
1568b3c7d104
hex3aed20414d

253086417229 has 2 divisors, whose sum is σ = 253086417230. Its totient is φ = 253086417228.

The previous prime is 253086417197. The next prime is 253086417277. The reversal of 253086417229 is 922714680352.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 139973256900 + 113113160329 = 374130^2 + 336323^2 .

It is a cyclic number.

It is not a de Polignac number, because 253086417229 - 25 = 253086417197 is a prime.

It is a super-2 number, since 2×2530864172292 (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 (253086417299) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126543208614 + 126543208615.

It is an arithmetic number, because the mean of its divisors is an integer number (126543208615).

It is a 1-persistent number, because it is pandigital, but 2⋅253086417229 = 506172834458 is not.

Almost surely, 2253086417229 is an apocalyptic number.

It is an amenable number.

253086417229 is a deficient number, since it is larger than the sum of its proper divisors (1).

253086417229 is an equidigital number, since it uses as much as digits as its factorization.

253086417229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1451520, while the sum is 49.

The spelling of 253086417229 in words is "two hundred fifty-three billion, eighty-six million, four hundred seventeen thousand, two hundred twenty-nine".