1610073825 has 48 divisors (see below), whose sum is σ = 2846710656. Its totient is φ = 800128000.

The previous prime is 1610073797. The next prime is 1610073827. The reversal of 1610073825 is 5283700161.

It is not a de Polignac number, because 1610073825 - 2⁵ = 1610073793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1610073827) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122524 + ... + 135026.

It is an arithmetic number, because the mean of its divisors is an integer number (59306472).

Almost surely, 2^1610073825 is an apocalyptic number.

1610073825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1610073825 is a deficient number, since it is larger than the sum of its proper divisors (1236636831).

1610073825 is a wasteful number, since it uses less digits than its factorization.

1610073825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12634 (or 12629 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 1610073825 is about 40125.7252270909. The cubic root of 1610073825 is about 1172.0566318292.

Adding to 1610073825 its reverse (5283700161), we get a palindrome (6893773986).

The spelling of 1610073825 in words is "one billion, six hundred ten million, seventy-three thousand, eight hundred twenty-five".