1611125145 has 36 divisors (see below), whose sum is σ = 3248558820. Its totient is φ = 736513344.

The previous prime is 1611125129. The next prime is 1611125147. The reversal of 1611125145 is 5415211161.

1611125145 is a `hidden beast` number, since 1 + 611 + 1 + 2 + 5 + 1 + 45 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 218566656 + 1392558489 = 14784^2 + 37317^2 .

It is not a de Polignac number, because 1611125145 - 2⁴ = 1611125129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1611125147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 363130 + ... + 367539.

It is an arithmetic number, because the mean of its divisors is an integer number (90237745).

Almost surely, 2^1611125145 is an apocalyptic number.

1611125145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1611125145 is an abundant number, since it is smaller than the sum of its proper divisors (1637433675).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1611125145 is a wasteful number, since it uses less digits than its factorization.

1611125145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730694 (or 730684 counting only the distinct ones).

The product of its digits is 1200, while the sum is 27.

The square root of 1611125145 is about 40138.8234132492. The cubic root of 1611125145 is about 1172.3116798609.

It can be divided in two parts, 1611 and 125145, that added together give a triangular number (126756 = T₅₀₃).

The spelling of 1611125145 in words is "one billion, six hundred eleven million, one hundred twenty-five thousand, one hundred forty-five".