1604123633125 has 30 divisors (see below), whose sum is σ = 2158859835902. Its totient is φ = 1184499300000.

The previous prime is 1604123633117. The next prime is 1604123633159. The reversal of 1604123633125 is 5213363214061.

It can be written as a sum of positive squares in 5 ways, for example, as 939967091361 + 664156541764 = 969519^2 + 814958^2 .

It is not a de Polignac number, because 1604123633125 - 2³ = 1604123633117 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 114157350 + ... + 114171400.

Almost surely, 2^{1604123633125} is an apocalyptic number.

It is an amenable number.

1604123633125 is a deficient number, since it is larger than the sum of its proper divisors (554736202777).

1604123633125 is an frugal number, since it uses more digits than its factorization.

1604123633125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28135 (or 14069 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

Adding to 1604123633125 its reverse (5213363214061), we get a palindrome (6817486847186).

The spelling of 1604123633125 in words is "one trillion, six hundred four billion, one hundred twenty-three million, six hundred thirty-three thousand, one hundred twenty-five".