10042541533035 has 80 divisors (see below), whose sum is σ = 19859408759520. Its totient is φ = 4814401743360.

The previous prime is 10042541533027. The next prime is 10042541533039. The reversal of 10042541533035 is 53033514524001.

10042541533035 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 2 + 541 + 53 + 30 + 35 = 666.

It is not a de Polignac number, because 10042541533035 - 2³ = 10042541533027 is a prime.

It is a super-2 number, since 2×10042541533035² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10042541533039) 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 79 ways as a sum of consecutive naturals, for example, 12267652 + ... + 13060641.

It is an arithmetic number, because the mean of its divisors is an integer number (248242609494).

Almost surely, 2^{10042541533035} is an apocalyptic number.

10042541533035 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10042541533035 is a deficient number, since it is larger than the sum of its proper divisors (9816867226485).

10042541533035 is a wasteful number, since it uses less digits than its factorization.

10042541533035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25328410 (or 25328401 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 10042541533035 in words is "ten trillion, forty-two billion, five hundred forty-one million, five hundred thirty-three thousand, thirty-five".