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1006654057 is a prime number
BaseRepresentation
bin111100000000000…
…101001001101001
32121011012022202121
4330000011021221
54030200412212
6243520031241
733642263323
oct7400051151
92534168677
101006654057
11477259102
12241162521
13130729ab6
14979a0613
155d597d07
hex3c005269

1006654057 has 2 divisors, whose sum is σ = 1006654058. Its totient is φ = 1006654056.

The previous prime is 1006654007. The next prime is 1006654063. The reversal of 1006654057 is 7504566001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1005143616 + 1510441 = 31704^2 + 1229^2 .

It is an emirp because it is prime and its reverse (7504566001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1006654057 is a prime.

It is not a weakly prime, because it can be changed into another prime (1006654007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503327028 + 503327029.

It is an arithmetic number, because the mean of its divisors is an integer number (503327029).

Almost surely, 21006654057 is an apocalyptic number.

It is an amenable number.

1006654057 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006654057 is an equidigital number, since it uses as much as digits as its factorization.

1006654057 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 34.

The square root of 1006654057 is about 31727.8120424337. The cubic root of 1006654057 is about 1002.2131174977.

The spelling of 1006654057 in words is "one billion, six million, six hundred fifty-four thousand, fifty-seven".