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1057336321 is a prime number
BaseRepresentation
bin111111000001011…
…010110000000001
32201200120020202111
4333001122300001
54131134230241
6252530215321
735126132116
oct7701326001
92650506674
101057336321
114a2925478
12256124541
1313b0938c2
14a05d490d
1562c59c81
hex3f05ac01

1057336321 has 2 divisors, whose sum is σ = 1057336322. Its totient is φ = 1057336320.

The previous prime is 1057336283. The next prime is 1057336327. The reversal of 1057336321 is 1236337501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 957036096 + 100300225 = 30936^2 + 10015^2 .

It is a cyclic number.

It is not a de Polignac number, because 1057336321 - 27 = 1057336193 is a prime.

It is a super-2 number, since 2×10573363212 = 2235920191411630082, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1057336327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 528668160 + 528668161.

It is an arithmetic number, because the mean of its divisors is an integer number (528668161).

Almost surely, 21057336321 is an apocalyptic number.

It is an amenable number.

1057336321 is a deficient number, since it is larger than the sum of its proper divisors (1).

1057336321 is an equidigital number, since it uses as much as digits as its factorization.

1057336321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11340, while the sum is 31.

The square root of 1057336321 is about 32516.7083358694. The cubic root of 1057336321 is about 1018.7580427383.

The spelling of 1057336321 in words is "one billion, fifty-seven million, three hundred thirty-six thousand, three hundred twenty-one".