11000010005953 has 2 divisors, whose sum is σ = 11000010005954. Its totient is φ = 11000010005952.

The previous prime is 11000010005891. The next prime is 11000010006049. The reversal of 11000010005953 is 35950001000011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10612948093504 + 387061912449 = 3257752^2 + 622143^2 .

It is a cyclic number.

It is not a de Polignac number, because 11000010005953 - 2¹⁷ = 11000009874881 is a prime.

It is a super-2 number, since 2×11000010005953² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (11000010003953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5500005002976 + 5500005002977.

It is an arithmetic number, because the mean of its divisors is an integer number (5500005002977).

Almost surely, 2^{11000010005953} is an apocalyptic number.

It is an amenable number.

11000010005953 is a deficient number, since it is larger than the sum of its proper divisors (1).

11000010005953 is an equidigital number, since it uses as much as digits as its factorization.

11000010005953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 675, while the sum is 25.

Adding to 11000010005953 its reverse (35950001000011), we get a palindrome (46950011005964).

The spelling of 11000010005953 in words is "eleven trillion, ten million, five thousand, nine hundred fifty-three".