1617493152 has 144 divisors (see below), whose sum is σ = 4942135296. Its totient is φ = 461260800.

The previous prime is 1617493133. The next prime is 1617493153. The reversal of 1617493152 is 2513947161.

It is a self number, because there is not a number n which added to its sum of digits gives 1617493152.

It is not an unprimeable number, because it can be changed into a prime (1617493153) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 193377 + ... + 201567.

It is an arithmetic number, because the mean of its divisors is an integer number (34320384).

Almost surely, 2^1617493152 is an apocalyptic number.

1617493152 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 1617493152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2471067648).

1617493152 is an abundant number, since it is smaller than the sum of its proper divisors (3324642144).

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

1617493152 is a wasteful number, since it uses less digits than its factorization.

1617493152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8243 (or 8224 counting only the distinct ones).

The product of its digits is 45360, while the sum is 39.

The square root of 1617493152 is about 40218.0699686099. The cubic root of 1617493152 is about 1173.8541784837.

The spelling of 1617493152 in words is "one billion, six hundred seventeen million, four hundred ninety-three thousand, one hundred fifty-two".