10535005506535 has 32 divisors (see below), whose sum is σ = 13204605772800. Its totient is φ = 8060708131200.

The previous prime is 10535005506533. The next prime is 10535005506569. The reversal of 10535005506535 is 53560550053501.

It is not a de Polignac number, because 10535005506535 - 2¹ = 10535005506533 is a prime.

It is a super-2 number, since 2×10535005506535² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10535005506491 and 10535005506500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10535005506533) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 289000060 + ... + 289036510.

It is an arithmetic number, because the mean of its divisors is an integer number (412643930400).

Almost surely, 2^{10535005506535} is an apocalyptic number.

10535005506535 is a deficient number, since it is larger than the sum of its proper divisors (2669600266265).

10535005506535 is a wasteful number, since it uses less digits than its factorization.

10535005506535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63031.

The product of its (nonzero) digits is 843750, while the sum is 43.

The spelling of 10535005506535 in words is "ten trillion, five hundred thirty-five billion, five million, five hundred six thousand, five hundred thirty-five".