Search a number
-
+
1053353009 is a prime number
BaseRepresentation
bin111110110010001…
…110010000110001
32201102001212200102
4332302032100301
54124124244014
6252305002145
735050232012
oct7662162061
92642055612
101053353009
114a0654785
12254923355
1313a2ca807
149dc79009
156271e8de
hex3ec8e431

1053353009 has 2 divisors, whose sum is σ = 1053353010. Its totient is φ = 1053353008.

The previous prime is 1053352991. The next prime is 1053353023. The reversal of 1053353009 is 9003533501.

1053353009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 990990400 + 62362609 = 31480^2 + 7897^2 .

It is a cyclic number.

It is not a de Polignac number, because 1053353009 - 220 = 1052304433 is a prime.

It is a super-3 number, since 3×10533530093 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (1053353909) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 526676504 + 526676505.

It is an arithmetic number, because the mean of its divisors is an integer number (526676505).

Almost surely, 21053353009 is an apocalyptic number.

It is an amenable number.

1053353009 is a deficient number, since it is larger than the sum of its proper divisors (1).

1053353009 is an equidigital number, since it uses as much as digits as its factorization.

1053353009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6075, while the sum is 29.

The square root of 1053353009 is about 32455.4003056502. The cubic root of 1053353009 is about 1017.4771075870.

The spelling of 1053353009 in words is "one billion, fifty-three million, three hundred fifty-three thousand, nine".