1617216825 has 216 divisors, whose sum is σ = 3490008768. Its totient is φ = 657296640.

The previous prime is 1617216793. The next prime is 1617216847. The reversal of 1617216825 is 5286127161.

It is not a de Polignac number, because 1617216825 - 2⁵ = 1617216793 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 215 ways as a sum of consecutive naturals, for example, 30513499 + ... + 30513551.

It is an arithmetic number, because the mean of its divisors is an integer number (16157448).

Almost surely, 2^1617216825 is an apocalyptic number.

1617216825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1617216825 is an abundant number, since it is smaller than the sum of its proper divisors (1872791943).

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

1617216825 is a wasteful number, since it uses less digits than its factorization.

1617216825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 110 counting only the distinct ones).

The product of its digits is 40320, while the sum is 39.

The square root of 1617216825 is about 40214.6344630907. The cubic root of 1617216825 is about 1173.7873289320.

The spelling of 1617216825 in words is "one billion, six hundred seventeen million, two hundred sixteen thousand, eight hundred twenty-five".