1609425806625 has 576 divisors, whose sum is σ = 3720702323520. Its totient is φ = 667234713600.

The previous prime is 1609425806623. The next prime is 1609425806663. The reversal of 1609425806625 is 5266085249061.

1609425806625 is a `hidden beast` number, since 1 + 6 + 0 + 9 + 4 + 2 + 5 + 8 + 0 + 6 + 625 = 666.

It can be written as a sum of positive squares in 32 ways, for example, as 812832071184 + 796593735441 = 901572^2 + 892521^2 .

It is not a de Polignac number, because 1609425806625 - 2¹ = 1609425806623 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1609425806623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 11747633557 + ... + 11747633693.

It is an arithmetic number, because the mean of its divisors is an integer number (6459552645).

Almost surely, 2^{1609425806625} is an apocalyptic number.

1609425806625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1609425806625 is an abundant number, since it is smaller than the sum of its proper divisors (2111276516895).

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

1609425806625 is a wasteful number, since it uses less digits than its factorization.

1609425806625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 1609425806625 in words is "one trillion, six hundred nine billion, four hundred twenty-five million, eight hundred six thousand, six hundred twenty-five".