1965106825 has 24 divisors (see below), whose sum is σ = 2798169120. Its totient is φ = 1353945600.

The previous prime is 1965106777. The next prime is 1965106841. The reversal of 1965106825 is 5286015691.

It is not a de Polignac number, because 1965106825 - 2⁷ = 1965106697 is a prime.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 182824 + ... + 193273.

It is an arithmetic number, because the mean of its divisors is an integer number (116590380).

Almost surely, 2^1965106825 is an apocalyptic number.

It is an amenable number.

1965106825 is a deficient number, since it is larger than the sum of its proper divisors (833062295).

1965106825 is a wasteful number, since it uses less digits than its factorization.

1965106825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376137 (or 376132 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 43.

The square root of 1965106825 is about 44329.5254317030. The cubic root of 1965106825 is about 1252.5509133982.

The spelling of 1965106825 in words is "one billion, nine hundred sixty-five million, one hundred six thousand, eight hundred twenty-five".