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253807121 is a prime number
BaseRepresentation
bin11110010000011…
…00101000010001
3122200120201220202
433020030220101
51004433311441
641103544545
76201216311
oct1710145021
9580521822
10253807121
111202a4057
1270bbb155
1340776539
14259cb441
151743719b
hexf20ca11

253807121 has 2 divisors, whose sum is σ = 253807122. Its totient is φ = 253807120.

The previous prime is 253807091. The next prime is 253807181. The reversal of 253807121 is 121708352.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 225600400 + 28206721 = 15020^2 + 5311^2 .

It is a cyclic number.

It is not a de Polignac number, because 253807121 - 210 = 253806097 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (253807181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126903560 + 126903561.

It is an arithmetic number, because the mean of its divisors is an integer number (126903561).

Almost surely, 2253807121 is an apocalyptic number.

It is an amenable number.

253807121 is a deficient number, since it is larger than the sum of its proper divisors (1).

253807121 is an equidigital number, since it uses as much as digits as its factorization.

253807121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 253807121 is about 15931.3251489008. The cubic root of 253807121 is about 633.1422097042.

The spelling of 253807121 in words is "two hundred fifty-three million, eight hundred seven thousand, one hundred twenty-one".