100525035033 has 6 divisors (see below), whose sum is σ = 145202828394. Its totient is φ = 67016690016.

The previous prime is 100525035007. The next prime is 100525035041. The reversal of 100525035033 is 330530525001.

100525035033 is a `hidden beast` number, since 100 + 5 + 2 + 50 + 3 + 503 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 79788171024 + 20736864009 = 282468^2 + 144003^2 .

It is not a de Polignac number, because 100525035033 - 2¹⁰ = 100525034009 is a prime.

It is a super-2 number, since 2×100525035033² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100525034988 and 100525035006.

It is not an unprimeable number, because it can be changed into a prime (100525033033) 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 5 ways as a sum of consecutive naturals, for example, 5584724160 + ... + 5584724177.

It is an arithmetic number, because the mean of its divisors is an integer number (24200471399).

Almost surely, 2^100525035033 is an apocalyptic number.

It is an amenable number.

100525035033 is a deficient number, since it is larger than the sum of its proper divisors (44677793361).

100525035033 is a wasteful number, since it uses less digits than its factorization.

100525035033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11169448343 (or 11169448340 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 27.

The spelling of 100525035033 in words is "one hundred billion, five hundred twenty-five million, thirty-five thousand, thirty-three".