1601613000 has 448 divisors, whose sum is σ = 6087135600. Its totient is φ = 394243200.

The previous prime is 1601612953. The next prime is 1601613077. The reversal of 1601613000 is 3161061.

The cubic root of 1601613000 is 1170.

It is a perfect power (a cube), and thus also a powerful number.

1601613000 is a `hidden beast` number, since 1 + 601 + 61 + 3 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 822198276 + 779414724 = 28674^2 + 27918^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 123200994 + ... + 123201006.

Almost surely, 2^1601613000 is an apocalyptic number.

1601613000 is a gapful number since it is divisible by the number (10) 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 1601613000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3043567800).

1601613000 is an abundant number, since it is smaller than the sum of its proper divisors (4485522600).

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

1601613000 is an frugal number, since it uses more digits than its factorization.

1601613000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1601613000 is about 40020.1574209797.

Adding to 1601613000 its reverse (3161061), we get a palindrome (1604774061).

The spelling of 1601613000 in words is "one billion, six hundred one million, six hundred thirteen thousand".