1617985152 has 256 divisors, whose sum is σ = 5577523200. Its totient is φ = 452127744.

The previous prime is 1617985129. The next prime is 1617985153. The reversal of 1617985152 is 2515897161.

1617985152 is a `hidden beast` number, since 1 + 61 + 79 + 8 + 515 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1617985098 and 1617985107.

It is not an unprimeable number, because it can be changed into a prime (1617985153) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1136313 + ... + 1137735.

It is an arithmetic number, because the mean of its divisors is an integer number (21787200).

Almost surely, 2^1617985152 is an apocalyptic number.

1617985152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1617985152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2788761600).

1617985152 is an abundant number, since it is smaller than the sum of its proper divisors (3959538048).

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

1617985152 is a wasteful number, since it uses less digits than its factorization.

1617985152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1500 (or 1482 counting only the distinct ones).

The product of its digits is 151200, while the sum is 45.

The square root of 1617985152 is about 40224.1861570871. The cubic root of 1617985152 is about 1173.9731852129.

The spelling of 1617985152 in words is "one billion, six hundred seventeen million, nine hundred eighty-five thousand, one hundred fifty-two".