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1057038331 is a prime number
BaseRepresentation
bin111111000000010…
…001111111111011
32201200000002222211
4333000101333323
54131100211311
6252515555551
735123451256
oct7700217773
92650002884
101057038331
114a27415a8
12255bbbbb7
1313acbb08b
14a055809d
1562beb821
hex3f011ffb

1057038331 has 2 divisors, whose sum is σ = 1057038332. Its totient is φ = 1057038330.

The previous prime is 1057038329. The next prime is 1057038361. The reversal of 1057038331 is 1338307501.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1057038331 - 21 = 1057038329 is a prime.

It is a super-2 number, since 2×10570383312 = 2234660066406531122, which contains 22 as substring.

Together with 1057038329, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 1057038293 and 1057038302.

It is not a weakly prime, because it can be changed into another prime (1057038361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 528519165 + 528519166.

It is an arithmetic number, because the mean of its divisors is an integer number (528519166).

Almost surely, 21057038331 is an apocalyptic number.

1057038331 is a deficient number, since it is larger than the sum of its proper divisors (1).

1057038331 is an equidigital number, since it uses as much as digits as its factorization.

1057038331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 1057038331 is about 32512.1259071135. The cubic root of 1057038331 is about 1018.6623279290.

The spelling of 1057038331 in words is "one billion, fifty-seven million, thirty-eight thousand, three hundred thirty-one".