1597133616 has 160 divisors (see below), whose sum is σ = 4881354240. Its totient is φ = 445243392.

The previous prime is 1597133611. The next prime is 1597133627. The reversal of 1597133616 is 6163317951.

It is not an unprimeable number, because it can be changed into a prime (1597133611) 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, 269760 + ... + 275616.

It is an arithmetic number, because the mean of its divisors is an integer number (30508464).

Almost surely, 2^1597133616 is an apocalyptic number.

1597133616 is a gapful number since it is divisible by the number (16) 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 1597133616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2440677120).

1597133616 is an abundant number, since it is smaller than the sum of its proper divisors (3284220624).

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

1597133616 is a wasteful number, since it uses less digits than its factorization.

1597133616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5923 (or 5917 counting only the distinct ones).

The product of its digits is 102060, while the sum is 42.

The square root of 1597133616 is about 39964.1541384276. The cubic root of 1597133616 is about 1168.9082313112.

The spelling of 1597133616 in words is "one billion, five hundred ninety-seven million, one hundred thirty-three thousand, six hundred sixteen".