11072205153 has 6 divisors (see below), whose sum is σ = 15993185234. Its totient is φ = 7381470096.

The previous prime is 11072205073. The next prime is 11072205169. The reversal of 11072205153 is 35150227011.

11072205153 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 6411685329 + 4660519824 = 80073^2 + 68268^2 .

It is not a de Polignac number, because 11072205153 - 2¹² = 11072201057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11072205173) 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 in 5 ways as a sum of consecutive naturals, for example, 615122500 + ... + 615122517.

Almost surely, 2^11072205153 is an apocalyptic number.

It is an amenable number.

11072205153 is a deficient number, since it is larger than the sum of its proper divisors (4920980081).

11072205153 is a wasteful number, since it uses less digits than its factorization.

11072205153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230245023 (or 1230245020 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

It can be divided in two parts, 11072 and 205153, that added together give a square (216225 = 465²).

The spelling of 11072205153 in words is "eleven billion, seventy-two million, two hundred five thousand, one hundred fifty-three".