11435505201 has 12 divisors (see below), whose sum is σ = 16920829380. Its totient is φ = 7437726720.

The previous prime is 11435505161. The next prime is 11435505251. The reversal of 11435505201 is 10250553411.

It can be written as a sum of positive squares in 2 ways, for example, as 2166437025 + 9269068176 = 46545^2 + 96276^2 .

It is not a de Polignac number, because 11435505201 - 2¹⁰ = 11435504177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11435505251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15494896 + ... + 15495633.

It is an arithmetic number, because the mean of its divisors is an integer number (1410069115).

Almost surely, 2^11435505201 is an apocalyptic number.

It is an amenable number.

11435505201 is a deficient number, since it is larger than the sum of its proper divisors (5485324179).

11435505201 is a wasteful number, since it uses less digits than its factorization.

11435505201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30990576 (or 30990573 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

It can be divided in two parts, 11435 and 505201, that added together give a triangular number (516636 = T₁₀₁₆).

The spelling of 11435505201 in words is "eleven billion, four hundred thirty-five million, five hundred five thousand, two hundred one".