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251144057 is a prime number
BaseRepresentation
bin11101111100000…
…10011101111001
3122111120102212202
432332002131321
51003243102212
640530515545
76136455263
oct1676023571
9574512782
10251144057
1111984527a
1270135bb5
1340053368
14254d6b33
15170ad0c2
hexef82779

251144057 has 2 divisors, whose sum is σ = 251144058. Its totient is φ = 251144056.

The previous prime is 251144053. The next prime is 251144063. The reversal of 251144057 is 750441152.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 243859456 + 7284601 = 15616^2 + 2699^2 .

It is a cyclic number.

It is not a de Polignac number, because 251144057 - 22 = 251144053 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (251144053) 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, 125572028 + 125572029.

It is an arithmetic number, because the mean of its divisors is an integer number (125572029).

Almost surely, 2251144057 is an apocalyptic number.

It is an amenable number.

251144057 is a deficient number, since it is larger than the sum of its proper divisors (1).

251144057 is an equidigital number, since it uses as much as digits as its factorization.

251144057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5600, while the sum is 29.

The square root of 251144057 is about 15847.5252642171. The cubic root of 251144057 is about 630.9200104886.

The spelling of 251144057 in words is "two hundred fifty-one million, one hundred forty-four thousand, fifty-seven".