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1007366081 is a prime number
BaseRepresentation
bin111100000010110…
…010111111000001
32121012112111110212
4330002302333001
54030341203311
6243543203505
733651320231
oct7402627701
92535474425
101007366081
114776a5057
12241446595
13130918c07
1497b07cc1
155d688c8b
hex3c0b2fc1

1007366081 has 2 divisors, whose sum is σ = 1007366082. Its totient is φ = 1007366080.

The previous prime is 1007366057. The next prime is 1007366089. The reversal of 1007366081 is 1806637001.

1007366081 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 852114481 + 155251600 = 29191^2 + 12460^2 .

It is a cyclic number.

It is not a de Polignac number, because 1007366081 - 214 = 1007349697 is a prime.

It is a super-2 number, since 2×10073660812 = 2029572842298597122, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1007366089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503683040 + 503683041.

It is an arithmetic number, because the mean of its divisors is an integer number (503683041).

Almost surely, 21007366081 is an apocalyptic number.

It is an amenable number.

1007366081 is a deficient number, since it is larger than the sum of its proper divisors (1).

1007366081 is an equidigital number, since it uses as much as digits as its factorization.

1007366081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 1007366081 is about 31739.0308768242. The cubic root of 1007366081 is about 1002.4493560899.

The spelling of 1007366081 in words is "one billion, seven million, three hundred sixty-six thousand, eighty-one".