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1057225217 is a prime number
BaseRepresentation
bin111111000000111…
…111101000000001
32201200100121100112
4333000333220001
54131122201332
6252524001105
735125160156
oct7700775001
92650317315
101057225217
114a2859a54
12256090195
1313b055169
14a05a622d
1562c36db2
hex3f03fa01

1057225217 has 2 divisors, whose sum is σ = 1057225218. Its totient is φ = 1057225216.

The previous prime is 1057225187. The next prime is 1057225297. The reversal of 1057225217 is 7125227501.

1057225217 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 566868481 + 490356736 = 23809^2 + 22144^2 .

It is a cyclic number.

It is not a de Polignac number, because 1057225217 - 216 = 1057159681 is a prime.

It is a super-2 number, since 2×10572252172 = 2235450318921394178, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1057225297) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 528612608 + 528612609.

It is an arithmetic number, because the mean of its divisors is an integer number (528612609).

Almost surely, 21057225217 is an apocalyptic number.

It is an amenable number.

1057225217 is a deficient number, since it is larger than the sum of its proper divisors (1).

1057225217 is an equidigital number, since it uses as much as digits as its factorization.

1057225217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9800, while the sum is 32.

The square root of 1057225217 is about 32514.9998769799. Note that the first 3 decimals coincide. The cubic root of 1057225217 is about 1018.7223580792.

The spelling of 1057225217 in words is "one billion, fifty-seven million, two hundred twenty-five thousand, two hundred seventeen".