10533003121125 has 48 divisors (see below), whose sum is σ = 18994396230576. Its totient is φ = 5615559475200.

The previous prime is 10533003121103. The next prime is 10533003121129. The reversal of 10533003121125 is 52112130033501.

10533003121125 is a `hidden beast` number, since 1 + 0 + 5 + 330 + 0 + 312 + 1 + 12 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 174074197284 + 10358928923841 = 417222^2 + 3218529^2 .

It is not a de Polignac number, because 10533003121125 - 2⁸ = 10533003120869 is a prime.

It is a super-2 number, since 2×10533003121125² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10533003121129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1396677 + ... + 4797573.

It is an arithmetic number, because the mean of its divisors is an integer number (395716588137).

Almost surely, 2^{10533003121125} is an apocalyptic number.

10533003121125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10533003121125 is a deficient number, since it is larger than the sum of its proper divisors (8461393109451).

10533003121125 is a wasteful number, since it uses less digits than its factorization.

10533003121125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3403671 (or 3403658 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 10533003121125 its reverse (52112130033501), we get a palindrome (62645133154626).

The spelling of 10533003121125 in words is "ten trillion, five hundred thirty-three billion, three million, one hundred twenty-one thousand, one hundred twenty-five".