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253837681 is a prime number
BaseRepresentation
bin11110010000101…
…00000101110001
3122200122021211121
433020110011301
51004440301211
641104342241
76201404356
oct1710240561
9580567747
10253837681
11120315009
1271014981
1340787416
14259d862d
1517441271
hexf214171

253837681 has 2 divisors, whose sum is σ = 253837682. Its totient is φ = 253837680.

The previous prime is 253837673. The next prime is 253837687. The reversal of 253837681 is 186738352.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 243079281 + 10758400 = 15591^2 + 3280^2 .

It is a cyclic number.

It is not a de Polignac number, because 253837681 - 23 = 253837673 is a prime.

It is a super-2 number, since 2×2538376812 = 128867136590915522, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (253837687) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126918840 + 126918841.

It is an arithmetic number, because the mean of its divisors is an integer number (126918841).

Almost surely, 2253837681 is an apocalyptic number.

It is an amenable number.

253837681 is a deficient number, since it is larger than the sum of its proper divisors (1).

253837681 is an equidigital number, since it uses as much as digits as its factorization.

253837681 is an evil number, because the sum of its binary digits is even.

The product of its digits is 241920, while the sum is 43.

The square root of 253837681 is about 15932.2842367314. The cubic root of 253837681 is about 633.1676201410.

It can be divided in two parts, 25 and 3837681, that multiplied together give a square (95942025 = 97952).

The spelling of 253837681 in words is "two hundred fifty-three million, eight hundred thirty-seven thousand, six hundred eighty-one".