11017631153 has 2 divisors, whose sum is σ = 11017631154. Its totient is φ = 11017631152.

The previous prime is 11017631129. The next prime is 11017631159. The reversal of 11017631153 is 35113671011.

It is a happy number.

11017631153 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., 10602409024 + 415222129 = 102968^2 + 20377^2 .

It is a cyclic number.

It is not a de Polignac number, because 11017631153 - 2⁶ = 11017631089 is a prime.

It is a super-2 number, since 2×11017631153² (a number of 21 digits) contains 22 as substring.

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 (11017631159) 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, 5508815576 + 5508815577.

It is an arithmetic number, because the mean of its divisors is an integer number (5508815577).

Almost surely, 2^11017631153 is an apocalyptic number.

It is an amenable number.

11017631153 is a deficient number, since it is larger than the sum of its proper divisors (1).

11017631153 is an equidigital number, since it uses as much as digits as its factorization.

11017631153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1890, while the sum is 29.

The spelling of 11017631153 in words is "eleven billion, seventeen million, six hundred thirty-one thousand, one hundred fifty-three".