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1057316353 is a prime number
BaseRepresentation
bin111111000001010…
…101111000000001
32201200112020100221
4333001111320001
54131133110403
6252525543041
735126016652
oct7701257001
92650466327
101057316353
114a2911475
12256114a81
1313b0877a2
14a05cb529
1562c53dbd
hex3f055e01

1057316353 has 2 divisors, whose sum is σ = 1057316354. Its totient is φ = 1057316352.

The previous prime is 1057316297. The next prime is 1057316363. The reversal of 1057316353 is 3536137501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 912523264 + 144793089 = 30208^2 + 12033^2 .

It is a cyclic number.

It is not a de Polignac number, because 1057316353 - 29 = 1057315841 is a prime.

It is a super-2 number, since 2×10573163532 = 2235835740642441218, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1057316363) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 528658176 + 528658177.

It is an arithmetic number, because the mean of its divisors is an integer number (528658177).

Almost surely, 21057316353 is an apocalyptic number.

It is an amenable number.

1057316353 is a deficient number, since it is larger than the sum of its proper divisors (1).

1057316353 is an equidigital number, since it uses as much as digits as its factorization.

1057316353 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28350, while the sum is 34.

The square root of 1057316353 is about 32516.4012922710. The cubic root of 1057316353 is about 1018.7516295506.

The spelling of 1057316353 in words is "one billion, fifty-seven million, three hundred sixteen thousand, three hundred fifty-three".