1033542125 has 64 divisors (see below), whose sum is σ = 1620283392. Its totient is φ = 639432000.

The previous prime is 1033542091. The next prime is 1033542161. The reversal of 1033542125 is 5212453301.

It is a happy number.

It is not a de Polignac number, because 1033542125 - 2¹⁴ = 1033525741 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1033542094 and 1033542103.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1607054 + ... + 1607696.

It is an arithmetic number, because the mean of its divisors is an integer number (25316928).

Almost surely, 2^1033542125 is an apocalyptic number.

It is an amenable number.

1033542125 is a deficient number, since it is larger than the sum of its proper divisors (586741267).

1033542125 is a wasteful number, since it uses less digits than its factorization.

1033542125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 1033542125 is about 32148.7499756989. The cubic root of 1033542125 is about 1011.0579787208.

Adding to 1033542125 its reverse (5212453301), we get a palindrome (6245995426).

The spelling of 1033542125 in words is "one billion, thirty-three million, five hundred forty-two thousand, one hundred twenty-five".