10540523133 has 18 divisors (see below), whose sum is σ = 17710947774. Its totient is φ = 6023155824.

The previous prime is 10540523101. The next prime is 10540523137. The reversal of 10540523133 is 33132504501.

10540523133 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 0 + 523 + 133 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6632147844 + 3908375289 = 81438^2 + 62517^2 .

It is not a de Polignac number, because 10540523133 - 2⁵ = 10540523101 is a prime.

It is a super-2 number, since 2×10540523133² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10540523097 and 10540523106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10540523137) 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 17 ways as a sum of consecutive naturals, for example, 11950266 + ... + 11951147.

It is an arithmetic number, because the mean of its divisors is an integer number (983941543).

Almost surely, 2^10540523133 is an apocalyptic number.

It is an amenable number.

10540523133 is a deficient number, since it is larger than the sum of its proper divisors (7170424641).

10540523133 is a wasteful number, since it uses less digits than its factorization.

10540523133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23901433 (or 23901423 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The spelling of 10540523133 in words is "ten billion, five hundred forty million, five hundred twenty-three thousand, one hundred thirty-three".