10042533 has 12 divisors (see below), whose sum is σ = 14571180. Its totient is φ = 6664896.

The previous prime is 10042523. The next prime is 10042553. The reversal of 10042533 is 33524001.

10042533 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1292769 + 8749764 = 1137^2 + 2958^2 .

It is not a de Polignac number, because 10042533 - 2²¹ = 7945381 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042523) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 298 + ... + 4491.

It is an arithmetic number, because the mean of its divisors is an integer number (1214265).

Almost surely, 2^10042533 is an apocalyptic number.

It is an amenable number.

10042533 is a deficient number, since it is larger than the sum of its proper divisors (4528647).

10042533 is a wasteful number, since it uses less digits than its factorization.

10042533 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5028 (or 5025 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 10042533 is about 3168.9955821995. The cubic root of 10042533 is about 215.7484855377.

Adding to 10042533 its reverse (33524001), we get a palindrome (43566534).

It can be divided in two parts, 100425 and 33, that multiplied together give a triangular number (3314025 = T₂₅₇₄).

The spelling of 10042533 in words is "ten million, forty-two thousand, five hundred thirty-three".