Search a number
-
+
1006327475953 is a prime number
BaseRepresentation
bin11101010010011011100…
…10101010111011110001
310120012111200200111201021
432221031302222323301
5112441424313212303
62050144522135441
7132463506260542
oct16511562527361
93505450614637
101006327475953
11358865697268
12143049051581
1373b86162557
14369c693c4c9
151b29bed8ebd
hexea4dcaaef1

1006327475953 has 2 divisors, whose sum is σ = 1006327475954. Its totient is φ = 1006327475952.

The previous prime is 1006327475869. The next prime is 1006327476023. The reversal of 1006327475953 is 3595747236001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 920310211584 + 86017264369 = 959328^2 + 293287^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1006327475953 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1006327475953.

It is not a weakly prime, because it can be changed into another prime (1006327473953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503163737976 + 503163737977.

It is an arithmetic number, because the mean of its divisors is an integer number (503163737977).

Almost surely, 21006327475953 is an apocalyptic number.

It is an amenable number.

1006327475953 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006327475953 is an equidigital number, since it uses as much as digits as its factorization.

1006327475953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4762800, while the sum is 52.

The spelling of 1006327475953 in words is "one trillion, six billion, three hundred twenty-seven million, four hundred seventy-five thousand, nine hundred fifty-three".