10541263135 has 16 divisors (see below), whose sum is σ = 13625690400. Its totient is φ = 7782526080.

The previous prime is 10541263133. The next prime is 10541263181. The reversal of 10541263135 is 53136214501.

It is not a de Polignac number, because 10541263135 - 2¹ = 10541263133 is a prime.

It is a super-2 number, since 2×10541263135² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10541263097 and 10541263106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10541263133) 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 15 ways as a sum of consecutive naturals, for example, 310216 + ... + 342514.

It is an arithmetic number, because the mean of its divisors is an integer number (851605650).

Almost surely, 2^10541263135 is an apocalyptic number.

10541263135 is a deficient number, since it is larger than the sum of its proper divisors (3084427265).

10541263135 is a wasteful number, since it uses less digits than its factorization.

10541263135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37338.

The product of its (nonzero) digits is 10800, while the sum is 31.

Adding to 10541263135 its reverse (53136214501), we get a palindrome (63677477636).

The spelling of 10541263135 in words is "ten billion, five hundred forty-one million, two hundred sixty-three thousand, one hundred thirty-five".