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253086417197 is a prime number
BaseRepresentation
bin1110101110110100100…
…0000100000100101101
3220012021000202002120022
43223231020010010231
513121310110322242
6312133304131525
724166501023425
oct3535510040455
9805230662508
10253086417197
1198373759169
1241072166ba5
131ab3463c663
14c36c6b1485
1568b3c7d0d2
hex3aed20412d

253086417197 has 2 divisors, whose sum is σ = 253086417198. Its totient is φ = 253086417196.

The previous prime is 253086417179. The next prime is 253086417229. The reversal of 253086417197 is 791714680352.

Together with previous prime (253086417179) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 184916340361 + 68170076836 = 430019^2 + 261094^2 .

It is a cyclic number.

It is not a de Polignac number, because 253086417197 - 230 = 252012675373 is a prime.

It is a super-2 number, since 2×2530864171972 (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 (253080417197) 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, 126543208598 + 126543208599.

It is an arithmetic number, because the mean of its divisors is an integer number (126543208599).

It is a 2-persistent number, because it is pandigital, and so is 2⋅253086417197 = 506172834394, but 3⋅253086417197 = 759259251591 is not.

Almost surely, 2253086417197 is an apocalyptic number.

It is an amenable number.

253086417197 is a deficient number, since it is larger than the sum of its proper divisors (1).

253086417197 is an equidigital number, since it uses as much as digits as its factorization.

253086417197 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2540160, while the sum is 53.

The spelling of 253086417197 in words is "two hundred fifty-three billion, eighty-six million, four hundred seventeen thousand, one hundred ninety-seven".