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253122629 is a prime number
BaseRepresentation
bin11110001011001…
…01100001000101
3122122021221222012
433011211201011
51004244411004
641041144005
76162335564
oct1705454105
9578257865
10253122629
1111a976861
127092b005
1340596b06
142588dbdb
151734e46e
hexf165845

253122629 has 2 divisors, whose sum is σ = 253122630. Its totient is φ = 253122628.

The previous prime is 253122619. The next prime is 253122637. The reversal of 253122629 is 926221352.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 158508100 + 94614529 = 12590^2 + 9727^2 .

It is a cyclic number.

It is not a de Polignac number, because 253122629 - 212 = 253118533 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 253122595 and 253122604.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (253122619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126561314 + 126561315.

It is an arithmetic number, because the mean of its divisors is an integer number (126561315).

Almost surely, 2253122629 is an apocalyptic number.

It is an amenable number.

253122629 is a deficient number, since it is larger than the sum of its proper divisors (1).

253122629 is an equidigital number, since it uses as much as digits as its factorization.

253122629 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12960, while the sum is 32.

The square root of 253122629 is about 15909.8280631816. The cubic root of 253122629 is about 632.5725238799.

The spelling of 253122629 in words is "two hundred fifty-three million, one hundred twenty-two thousand, six hundred twenty-nine".