1016038125 has 30 divisors (see below), whose sum is σ = 1833936390. Its totient is φ = 541884000.

The previous prime is 1016038117. The next prime is 1016038139. The reversal of 1016038125 is 5218306101.

It can be written as a sum of positive squares in 5 ways, for example, as 82246761 + 933791364 = 9069^2 + 30558^2 .

It is not a de Polignac number, because 1016038125 - 2³ = 1016038117 is a prime.

It is a congruent number.

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 84690 + ... + 95939.

It is an arithmetic number, because the mean of its divisors is an integer number (61131213).

Almost surely, 2^1016038125 is an apocalyptic number.

1016038125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1016038125 is a deficient number, since it is larger than the sum of its proper divisors (817898265).

1016038125 is an equidigital number, since it uses as much as digits as its factorization.

1016038125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180655 (or 180637 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1016038125 is about 31875.3529392225. The cubic root of 1016038125 is about 1005.3177134653.

The spelling of 1016038125 in words is "one billion, sixteen million, thirty-eight thousand, one hundred twenty-five".