1035642125 has 32 divisors (see below), whose sum is σ = 1564033536. Its totient is φ = 668371200.

The previous prime is 1035642121. The next prime is 1035642151. The reversal of 1035642125 is 5212465301.

It is not a de Polignac number, because 1035642125 - 2² = 1035642121 is a prime.

It is a super-3 number, since 3×1035642125³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1035642121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19937 + ... + 49686.

It is an arithmetic number, because the mean of its divisors is an integer number (48876048).

Almost surely, 2^1035642125 is an apocalyptic number.

It is an amenable number.

1035642125 is a deficient number, since it is larger than the sum of its proper divisors (528391411).

1035642125 is an equidigital number, since it uses as much as digits as its factorization.

1035642125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69662 (or 69652 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 1035642125 is about 32181.3940810525. The cubic root of 1035642125 is about 1011.7422873407.

The spelling of 1035642125 in words is "one billion, thirty-five million, six hundred forty-two thousand, one hundred twenty-five".