1601312000 has 144 divisors (see below), whose sum is σ = 4026614592. Its totient is φ = 634521600.

The previous prime is 1601311981. The next prime is 1601312017. The reversal of 1601312000 is 2131061.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 5215847 + ... + 5216153.

Almost surely, 2^1601312000 is an apocalyptic number.

1601312000 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 1601312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2013307296).

1601312000 is an abundant number, since it is smaller than the sum of its proper divisors (2425302592).

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

1601312000 is an equidigital number, since it uses as much as digits as its factorization.

1601312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1601312000 is about 40016.3966393777. The cubic root of 1601312000 is about 1169.9267005483.

Adding to 1601312000 its reverse (2131061), we get a palindrome (1603443061).

The spelling of 1601312000 in words is "one billion, six hundred one million, three hundred twelve thousand".