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406689835001 is a prime number
BaseRepresentation
bin1011110101100001001…
…10100110011111111001
31102212201220200012101112
411322300212212133321
523130400044210001
6510455234330105
741245103363102
oct5726046463771
91385656605345
10406689835001
1114752689a45a
126699b729935
132c4735c77a8
14159808613a9
15a8a3d96cbb
hex5eb09a67f9

406689835001 has 2 divisors, whose sum is σ = 406689835002. Its totient is φ = 406689835000.

The previous prime is 406689834913. The next prime is 406689835033. The reversal of 406689835001 is 100538986604.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 394319946601 + 12369888400 = 627949^2 + 111220^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-406689835001 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (406689835061) 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, 203344917500 + 203344917501.

It is an arithmetic number, because the mean of its divisors is an integer number (203344917501).

Almost surely, 2406689835001 is an apocalyptic number.

It is an amenable number.

406689835001 is a deficient number, since it is larger than the sum of its proper divisors (1).

406689835001 is an equidigital number, since it uses as much as digits as its factorization.

406689835001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1244160, while the sum is 50.

The spelling of 406689835001 in words is "four hundred six billion, six hundred eighty-nine million, eight hundred thirty-five thousand, one".