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1035640409 is a prime number
BaseRepresentation
bin111101101110101…
…001111001011001
32200011201222120012
4331232221321121
54110110443114
6250433211305
734443540536
oct7556517131
92604658505
101035640409
11491656a71
1224aa00b35
1313673859b
149b787d8d
1560dc163e
hex3dba9e59

1035640409 has 2 divisors, whose sum is σ = 1035640410. Its totient is φ = 1035640408.

The previous prime is 1035640273. The next prime is 1035640421. The reversal of 1035640409 is 9040465301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 783720025 + 251920384 = 27995^2 + 15872^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1035640409 is a prime.

It is a super-3 number, since 3×10356404093 (a number of 28 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (1035640469) 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, 517820204 + 517820205.

It is an arithmetic number, because the mean of its divisors is an integer number (517820205).

Almost surely, 21035640409 is an apocalyptic number.

It is an amenable number.

1035640409 is a deficient number, since it is larger than the sum of its proper divisors (1).

1035640409 is an equidigital number, since it uses as much as digits as its factorization.

1035640409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 1035640409 is about 32181.3674196731. The cubic root of 1035640409 is about 1011.7417285406.

The spelling of 1035640409 in words is "one billion, thirty-five million, six hundred forty thousand, four hundred nine".