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1008052957 is a prime number
BaseRepresentation
bin111100000101011…
…010101011011101
32121020211101200201
4330011122223131
54031030143312
6244010023501
733660210622
oct7405325335
92536741621
101008052957
1147802411a
12241717b91
13130ac9752
1497c46349
155d772557
hex3c15aadd

1008052957 has 2 divisors, whose sum is σ = 1008052958. Its totient is φ = 1008052956.

The previous prime is 1008052943. The next prime is 1008053027. The reversal of 1008052957 is 7592508001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 726518116 + 281534841 = 26954^2 + 16779^2 .

It is a cyclic number.

It is not a de Polignac number, because 1008052957 - 227 = 873835229 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1008052057) 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, 504026478 + 504026479.

It is an arithmetic number, because the mean of its divisors is an integer number (504026479).

Almost surely, 21008052957 is an apocalyptic number.

It is an amenable number.

1008052957 is a deficient number, since it is larger than the sum of its proper divisors (1).

1008052957 is an equidigital number, since it uses as much as digits as its factorization.

1008052957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25200, while the sum is 37.

The square root of 1008052957 is about 31749.8497161798. The cubic root of 1008052957 is about 1002.6771454962.

The spelling of 1008052957 in words is "one billion, eight million, fifty-two thousand, nine hundred fifty-seven".