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1000561313 is a prime number
BaseRepresentation
bin111011101000110…
…101101010100001
32120201201210002102
4323220311222201
54022120430223
6243141300145
733536426243
oct7350655241
92521653072
101000561313
11473877584
1223b104655
1312c3a581b
1496c56093
155cc92928
hex3ba35aa1

1000561313 has 2 divisors, whose sum is σ = 1000561314. Its totient is φ = 1000561312.

The previous prime is 1000561297. The next prime is 1000561327. The reversal of 1000561313 is 3131650001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 886669729 + 113891584 = 29777^2 + 10672^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000561313 - 24 = 1000561297 is a prime.

It is a super-2 number, since 2×10005613132 = 2002245882144567938, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1000561343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500280656 + 500280657.

It is an arithmetic number, because the mean of its divisors is an integer number (500280657).

Almost surely, 21000561313 is an apocalyptic number.

It is an amenable number.

1000561313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000561313 is an equidigital number, since it uses as much as digits as its factorization.

1000561313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 1000561313 is about 31631.6504944020. The cubic root of 1000561313 is about 1000.1870693362.

The spelling of 1000561313 in words is "one billion, five hundred sixty-one thousand, three hundred thirteen".