1601591082 has 128 divisors (see below), whose sum is σ = 4064256000. Its totient is φ = 409522176.

The previous prime is 1601591081. The next prime is 1601591083. The reversal of 1601591082 is 2801951061.

It is an interprime number because it is at equal distance from previous prime (1601591081) and next prime (1601591083).

It is not an unprimeable number, because it can be changed into a prime (1601591081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3566794 + ... + 3567242.

It is an arithmetic number, because the mean of its divisors is an integer number (31752000).

Almost surely, 2^1601591082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1601591082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2032128000).

1601591082 is an abundant number, since it is smaller than the sum of its proper divisors (2462664918).

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

1601591082 is a wasteful number, since it uses less digits than its factorization.

1601591082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660.

The product of its (nonzero) digits is 4320, while the sum is 33.

The square root of 1601591082 is about 40019.8835830391. The cubic root of 1601591082 is about 1169.9946628436.

The spelling of 1601591082 in words is "one billion, six hundred one million, five hundred ninety-one thousand, eighty-two".