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253886753 is a prime number
BaseRepresentation
bin11110010001000…
…00000100100001
3122200201210011002
433020200010201
51004443334003
641105401345
76202000421
oct1710400441
9580653132
10253886753
1112034896a
1271039255
13407a3863
1425a0c481
1517450a88
hexf220121

253886753 has 2 divisors, whose sum is σ = 253886754. Its totient is φ = 253886752.

The previous prime is 253886729. The next prime is 253886761. The reversal of 253886753 is 357688352.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 215854864 + 38031889 = 14692^2 + 6167^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-253886753 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 253886698 and 253886707.

It is not a weakly prime, because it can be changed into another prime (253886713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126943376 + 126943377.

It is an arithmetic number, because the mean of its divisors is an integer number (126943377).

Almost surely, 2253886753 is an apocalyptic number.

It is an amenable number.

253886753 is a deficient number, since it is larger than the sum of its proper divisors (1).

253886753 is an equidigital number, since it uses as much as digits as its factorization.

253886753 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1209600, while the sum is 47.

The square root of 253886753 is about 15933.8241800266. The cubic root of 253886753 is about 633.2084189162.

The spelling of 253886753 in words is "two hundred fifty-three million, eight hundred eighty-six thousand, seven hundred fifty-three".