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1006666013 is a prime number
BaseRepresentation
bin111100000000001…
…000000100011101
32121011012221011102
4330000020010131
54030201303023
6243520202445
733642343223
oct7400100435
92534187142
101006666013
11477267091
12241169425
13130732382
14979a4b13
155d59b628
hex3c00811d

1006666013 has 2 divisors, whose sum is σ = 1006666014. Its totient is φ = 1006666012.

The previous prime is 1006665973. The next prime is 1006666027. The reversal of 1006666013 is 3106666001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 761649604 + 245016409 = 27598^2 + 15653^2 .

It is a cyclic number.

It is not a de Polignac number, because 1006666013 - 26 = 1006665949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1006666043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503333006 + 503333007.

It is an arithmetic number, because the mean of its divisors is an integer number (503333007).

Almost surely, 21006666013 is an apocalyptic number.

It is an amenable number.

1006666013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006666013 is an equidigital number, since it uses as much as digits as its factorization.

1006666013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 1006666013 is about 31728.0004570096. Note that the first 3 decimals coincide. The cubic root of 1006666013 is about 1002.2170852337.

Subtracting from 1006666013 its sum of digits (29), we obtain a square (1006665984 = 317282).

The spelling of 1006666013 in words is "one billion, six million, six hundred sixty-six thousand, thirteen".