1011628125 has 36 divisors (see below), whose sum is σ = 1826484660. Its totient is φ = 539520000.

The previous prime is 1011628117. The next prime is 1011628157. The reversal of 1011628125 is 5218261101.

1011628125 is a `hidden beast` number, since 1 + 0 + 11 + 628 + 1 + 25 = 666.

1011628125 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 6 ways, for example, as 600593049 + 411035076 = 24507^2 + 20274^2 .

It is not a de Polignac number, because 1011628125 - 2³ = 1011628117 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10141 + ... + 46109.

It is an arithmetic number, because the mean of its divisors is an integer number (50735685).

Almost surely, 2^1011628125 is an apocalyptic number.

1011628125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1011628125 is a deficient number, since it is larger than the sum of its proper divisors (814856535).

1011628125 is an frugal number, since it uses more digits than its factorization.

1011628125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36000 (or 35977 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 1011628125 is about 31806.1020088913. The cubic root of 1011628125 is about 1003.8611142758.

Adding to 1011628125 its reverse (5218261101), we get a palindrome (6229889226).

It can be divided in two parts, 1011628 and 125, that added together give a triangular number (1011753 = T₁₄₂₂).

The spelling of 1011628125 in words is "one billion, eleven million, six hundred twenty-eight thousand, one hundred twenty-five".